Question

Please help me with this question on matrices.

IfA- 2 1 3, then find the value of A -3A +21.
1 -1 0
Expand
Transcribed Image Text

IfA- 2 1 3, then find the value of A -3A +21. 1 -1 0

Expert Answer

Step 1

We first find A2, for which we multiply A with itself. We perform matrix multiplication in which we multiply rows of first matrix with columns of second matrix element by element and add.

Expand
Step 2

Let us now find 3A, for which multiply each element of A by 3.

Expand
Step 3

Now, to find 2I we consider the identity matrix of order 3x3 and multiply its each element by 2. We take order 3x3 to match with the ...

Expand

Ask a Homework Question!

Subscribe to bartleby learn and ask 30 homework questions each month. Subject matter experts are on standby 24/7 when you’re stuck and questions are typically answered in as fast as 30 minutes.*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Ask a Homework Question!

Subscribe to bartleby learn and ask 30 homework questions each month. Subject matter experts are on standby 24/7 when you’re stuck and questions are typically answered in as fast as 30 minutes.*

Ask a Question

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Tagged in
Math
Algebra

Matrices

Related Algebra Q&A

Find answers to questions asked by students like you.

Q: 121=(4q+5)2

A: To calculate the value of q from the provided equation which is mentioned below,

Q: 6 of 30 (4 complete This Question: 1 pt Without graphing, determine whether the equation has a graph...

A: The equation is given as  

Q: A sample of 125 light bulbs contained 3 defective bulbs. How many defective bulbs would you expect i...

A: To calculate the number defective bulbs in the batch of 3000 light bulbs. A sample contains 125 ligh...

Q: f Then determine the domain for each function. 9 First find f+ g, f-g, fg and f(x)-3x-32x+ 45, g(x) ...

A: Refer to the question for the given function f(x) = 3x2-32x+45 and g(x) = x -9. we need to calculate...

Q: #32

A: Question: To write the equation of a line in Slope-Intercept form and Standard form that has a slope...

Q: 33) Use the numerical representation of f(x) below to give a numerical representation of g(x)-f(2x) ...

A: To evaluate g(x) at various points using the definition in terms of f(x)

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning. X+7 ...

A: Procedure to solve the rational inequality.

Q: Find the indicated difference quotient and simplify your answer. f (x) = x 3 +3x, f (x +h)− f (x) /h...

A: Using given f(x) first find f(x+h).

Q: O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a compound linttarinequality Interval notation Espa...

A: The first inequality is,

Q: 18) Given the function: f(x) 2x-1 if 1<x<3 a) What is the domain of f(x)? b Evaluate f(0) and fl) c)...

A: The function is given by,

Q: The parent function f(x)=x3 is related to g. Use function notation to write g in terms of  f. g(x)=(...

A: The parent function f(x)=x3

Q: Two angles are supplementary if the sum of their angles is 180 degrees. One of two supplementary ang...

A: To calculate the value of two supplement angle. If the sum of two supplementary angle is 180o. In th...

Q: Approximate the number using a calculator. 2.3 2.3 e (Round to three decimal places.) Enter your ans...

A: We first plug e^2.3 in the calculator. 

Q: Number of Students: In a certain school 80% of the students in first-year chemistry have had algebr...

A: Total number of students in first year chemistry is 280.In which, 80% students have had algebra.Ther...

Q: Given the function f(x) = x-15, x2 0, (a) Find f (x). (b) Graph f and f 1 in the same rectangular co...

A: (a)We are given a function as 

Q: The worldwide sales in millions of hand-held PCs can be modeled by the function P(x) 1.85(x 1998) + ...

A: The given sales function is P ( x ) =1.85(x–1998)+4.

Q: O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a value mixture problem using a linear equation Esp...

A: Let x be a number of pounds of type A coffee.Here, total number of pounds is 155 and two types of co...

Q: For following function, select (on the same set of coordinate axes) a graph for c = -3, 5, and 4.  ...

A: The function is given by,

Q: Use a graphing utility to obtain a complete graph for the polynomial function. Then determine the nu...

A: Answer: Option A graph matched. 

Q: Fill in the blank to make the expression a perfect square. 2 12y X

A: The given expression is,

Q: If a baseball is projected upward from ground level with an initial velocity of 64 feet per second, ...

A: Consider the provided function.

Q: Number of Students: If 55 people enrolled in a psychology course but only 25 completed it, what per...

A: Given information:If 55 people enrolled in a psychology course but only 25 completed it.Calculation:...

Q: Explain how the vertical line test is used to determine whether a graph represents a function. Show ...

A: The basic definition of a function is that for every unique input x there is a unique output y.the v...

Q: Solve the system of liner equations by any method. {X=3y+5 {4x-12y=20

A: The given system of equation is,

Q: (x+9)/8 = 5/4 +(x-3)/2

A: To calculate the value of x from the provided equation which is shown below,

Q: Solve the system. If there is no solution or if there are infinitely many solutions and the system's...

A: Click to see the answer

Q: Chemistry: How much acetic acid is in a 15-liter container of acetic acid and water that is marked ...

A: It is given that, the container contains 15-liters of solution and the given solution contain 60% of...

Q: If a given line has a slope zero, then what is the slope of the line that is perpendicular to it?

A: If the slope of a line is m, then the slope of the perpendicular line to it is -1/m. 

Q: O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a compound linear inequality: Interval notation Esp...

A: We first solve for x from 4x+1&gt;=21

Q: In Exercise 4, given each set of numbers, list the a) natural Numbers b) whole numbers c) integers d...

A: Given set of numbers are:Natural numbers:The numbers that are used for counting are called natural n...

Q: (5y-2)2+6=22

A: Given information:The given equation is (5y-2)^2+6=22

Q: Find an equation of the parabola with vertex , 1−4 and focus , 7−4 .

A: Click to see the answer

Q: A ball is thrown upward and outward from a height of 5 feet. The height of the ball, fx), in feet, c...

A: Given information: A ball is thorwn upwards and outwards from a height of 5 feet. The height of the ...

Q: Use synthetic division to divide: f (x) = 10x^ 4 −50x^ 3 −800 / x −6

A: We are given a function 

Q: On a reality tv show, an officer is traveling 90 mph. He is chasing Jennifer who which had a 3 min h...

A: An officer is traveling 90 mph. He is chasing Jennifer who which had a 3 min head start before him. ...

Q: The hypotenuse of a right triangle is 5 ft long. The shorter leg is 1 ft shorter than the longer leg...

A: The length of the hypotenuse of right triangle is 5 ft.Let the length of longer side is x ft.Let the...

Q: Use properties of logarithms to condense the logarithmic expression. Write the expression as a singl...

A: We first use the exponent rule of logarithm. Coefficients become exponents.

Q: 20 of 30 (4 complete) This Question: 1 pt Find the domain of the function. f(x)- 2-2x What is the do...

A: Consider the provided function:

Q: Solve by completing this square m2+3m-40=0

A: We first add 40 to both sides.

Q: Multiply. Use the distributive property.   -2(2a-4b)

A: The given expression is –2(2a–4b).

Q: #25 The speed of a plane in still air is 280 mph. Flying against the wind, it can fly 600 mi in the ...

A: Le the speed of wind is x miles/hour. The speed of the plane in still air  is 280 mph\'. Then speed ...

Q: Use the properties of logarithms to find the exact value of the expression. Do not use a calculator.

A: The expression is given by,

Q: Use the graph of the function ffor the following 2) a) Find the domain and range of the function b) ...

A: Domain of function f(x) is the set of all values of x for which the function is defined and Range is...

Q: The parent function f(x)= x3 is related to g. Use function notation to write g in terms of  f.   g(x...

A: The parent function is given by,

Q: What is the range of the function f (x) = | x | + 2

A: Given:The function is f(x) = |x| + 2

Q: Solve the systems of linear equations by elimination X=3y+5 and 4x-12y=20

A: Click to see the answer

Q: Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (9,5), -...

A: Consider the receiving stations:

Q: Solve the equation by factoring. Please explain how you did your work. 4x2+11x-45=0.

A: We have to compare 4x^2+11x-45=0 with ax^2+bx+c. So, a=4 , b= 11 , c = -45. In ax^2+bx+c form we hav...

Q: Given the graph what are the intervals on which f is one-to-one (Simplify your answer).

A: We have a graph of the function and write the interval where given function 'f' is one-to-one.

Q: Given the functions f(x)=3x-5 , g(x)=2x^2-4x+8 , h(x)=30(1.5)^x , p(x)=5x-4/x-2 evaluate the followi...

A: Given the function f(x)=3x-5 and h(x)=30(1.5)x.And, Now simplifying  the composition of the two func...