Question

Show that if S is a set of n distinct linearly independent vectors in an n dimensional vector space v, then S is a basis for V. 

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions 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.
Tagged in
Math
Algebra

Vectors

Related Algebra Q&A

Find answers to questions asked by students like you.

Q: Let U be an n x n matrix such that UT U=I. Show that U=+-1. (plus or minus 1)

A: Click to see the answer

Q: Find all values of 0 in the interval [0°,360°) that have the given function value. tan 0 = /3 (Type ...

A: given  

Q: (D) squarng TuncUIOn, J( =v 11. The graph below shows transformations applied to the ... 10 6. 8. -1...

A: We know the graph of y=x3 is:  

Q: Write a recursive formula for the geometric sequence b, given below. 5 5 5 10, 5, 2'4'8 Select the c...

A: Click to see the answer

Q: Mathematical Definition What is A set S that spans a vector space V?

A: The set S = { v1, v2, v3, .... , vk} is a set of vectors in a vector space V.

Q: Choi can walk 125 m in 72 seconds. Standing on a moving sidewalk at an​ airport, she can travel 125 ...

A: Speed of Choi = 125m/72sec = 1.736 m/s Speed of the moving sidewalk = 125m/40sec = 3.125 m/s

Q: Consider the following compound inequality. 3 < x < 8 (a) Graph the compound inequalities. Use the t...

A: a) Graph the inequality and write interval notation.    

Q: I need to do one answer at a time. Please answer number 4 and show work. Please and thank you.

A: Given 6tz - 10z +24t -  40 = 2(3tz - 5z +12t - 20)

Q: I need to do one answer at a time. Please answer number 6 and show work. Please and thank you.

A: To Determine: Find the factor of trinomial using AC method.                                         ...

Q: Jim has gotten scores of 67 and 69 on his first two tests. what score must he get on his final test ...

A: Click to see the answer

Q: Solve

A: Use subtraction property of logarithm   

Q: Let f(x) = 3x-5 and g(x) = 4x+2/4-x. Find and simplify the following: a.) (f•g)(x)  b.) g-1(x)

A: We plug the expression of g(x) inside f(x) and then replace x by (4x+2)/(4-x) in the expression of f...

Q: Find the slope of the line in the figure. If the slope of the line is undefined, so state. Then writ...

A: Click to see the answer

Q: Write an explicit formula for the nth term of a sequence Question Find an explicit formula for the f...

A: Click to see the answer

Q: i. Find the rate of change of the function f(x)= x+2/1-8x with respect to x when x=1. ii.The number ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Find the first five terms of the following sequence, starting with n = = 1. Cn n2 – 3 Give your answ...

A: Given,

Q: Solve 3x2-5x-2)=0

A: Click to see the answer

Q: Find the values of​ x, y, and z in the triangle to the right.

A: Given

Q: Simplify   -4x8(3x8 - 10x4 + 4)

A: Consider

Q: v= k - gt slove for g

A: v = k - gt By rearranging, gt = k- v g = (k-v)/t

Q: Let A be an n×n invertible matrix. Show that det(A-1)=(detA)-1

A: Given  A be an n×n invertible matrix i.e.  To show     

Q: Help with 6

A: Click to see the answer

Q: The pressure of the air surrounding you decreases as the plane you are flying in reaches higher alti...

A: Click to see the answer

Q: 8.1.79 E Question Help A 6000-seat theater has tickets for sale at $26 and $40. How many tickets sho...

A: Suppose that x tickets were sold at $26 and y tickets were sold at $40. Then from the given informat...

Q: Solving a System of Linear

A: Click to see the answer

Q: Please answer number 3 please and thank you.

A: 4x (5x-4) + 7 (5x-4) Take (5x-4) as common (5x-4) (4x+ 7)

Q: This is the question

A: Let I am x years old, my daughter is y years old and my grandson is z years old.  Given that  x+y+z=...

Q: Please solve this equation

A: Click to see the answer

Q: Write in logarithmic form.

A: Click to see the answer

Q: A truck rental company rents a moving truck one day by charging $31 +9 cents per mile . Write a line...

A: Charge for 1 mile is = 9 cents = $0.09  So, charge for x miles= $0.09x  

Q: S Home- myGadsdenState Bb Activity Stream [] Fit to page LD Page view/A2 Rationalize the denominator...

A: Click to see the answer

Q: 

A: To express each of the following logarithmic expression as a single logarithm.

Q: Use this information to evaluate the following. Hint: do not try to solve for the value of a. log, 2...

A: Given values are 

Q: Solve using augmented matrix methods. 3x1+2x2=1 -4x1-x2=-8

A: Click to see the answer

Q: Use the rules of exponents to simplify the expression. Write the answer with positive exponents. Ass...

A: Click to see the answer

Q: Remove parenthesis and simplify.  Write without negative exponents.   A)  (-2xy-4)3

A: Click to see the answer

Q: Use Cramer's rule to solve the system of equations. If D=0, use another method to determine the solu...

A: Click to see the answer

Q: Find the center (h,k) and radius, r, of the circle with the given equation.  x^2+y^2-18x+2y+82=16

A: Given equation of circle is Firstly, we will reduce the equation in standard form of equation of ci...

Q: Solve the following equation for x. log2(12x + 10) = 3 + log2(x + 2)

A: To solve the given equation for x.  

Q: I need to do one answer at a time. Please answer number 1 and show work.  Please and thank you.

A: GCF of 30, 48 and 15 is = 3 GCF of x4,x3 and x is = x So GCF = 3x  

Q: 38. Find the intercepts of f(x) = -x² + 4.x + 12. %3D (A) x-intercepts: {-3,5} and y-intercept 12 (B...

A: To Determine: Find the intercepts of the given function:                                            ...

Q: Suppose the inverse of A is A-1 Solve the equation: Solve the equation A · X = 5 for X.

A: Click to see the answer

Q: The amount of toilet paper you buy is directly related to the total cost.  Suppose you buy Chramin 6...

A: Click to see the answer

Q: The volume V of a given mass of gas Varies directly as the temperature T and inversely as the pressu...

A: Click to see the answer

Q: Simply the following, leave final answer in terms of positive exponent. No decimals

A: EXPONENTIAL RULE applying the rule We have

Q: find the equation of the parabola y = ax? + bx + c that passes through the points. (0, 3), (1, 4), (...

A: Click to see the answer

Q: Do the polynomials x3 – 2x2 +1, 4x² – x+3, and 3x – 2 generate P3(R)? Justify your answer.

A: If x^3, x^2 and x all have the same value =0, then all are linearly independent and it the basis of ...

Q: For the following exercises, consider this scenario: A town has an initial population of 75,000. It ...

A: Click to see the answer

Q: Suppose the function  P(t) = 437.8(1.037)t  is used to model the population of an organism in a spec...

A: Click to see the answer