Question

Let a1 , a2, a3 be linearly dependent vectors in R3, not all zero, and let A = [a1 a2 a3]. What are the possible values of the rank of A?

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

Other

Related Algebra Q&A

Find answers to questions asked by students like you.

Q: Write the domain in interval notation. (a) k (x) =-3 x+4 x+4 (b) j(x) = x+3 x+4 (C) p (x) =

A: Domain of a function is a set of all the input values it can take for which the function remains def...

Q: Given a homogeneous linear system consisting of two equations in three unknowns, how many solutions ...

A: Click to see the answer

Q: Find an LU-factorization of the matrix.

A: Click to see the answer

Q: if A and B are n X n matrices of rank n, prove that AB has rank n

A: Given: A and B are matrix has rank n. To prove: AB has rank n. Formula used: A'A=I where A is any ma...

Q: You want to buy picture frames for your apartment. The cost of a frame is $7.00 each, but if you buy...

A: Click to see the answer

Q: The populations of two countries are given for January 1, 2000, and for January 1, 2010. a. Write a ...

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: Let f(x) = 5x + 2 and g(x) = 5x² + 2x. After simplifying, (f · g)(x)

A: Consider the functions f(x), g(x) and formula for the composite function.

Q: Determine whether each statement is true or false. If a statement is true, give a reason or cite an ...

A: To Determine whether each statement is true or false. If a statement is true, give a reason or cite ...

Q: the volume of a cylinder is given by v=pie r2h where is the radius of the cylinder and h is the heig...

A: GIVEN  v=pie r 2 h  

Q: (8x3) divided by brackets 15 -(2x4)+1

A: Using the PEMDAS rule, we will simplify the brackets first.   

Q: Prove Theorem 3.6.

A: Click to see the answer

Q: Four plumbers estimated the length of the radius of a cylindrical pipe. The estimates made by the pl...

A: Click to see the answer

Q: Read each questions carefully. Type your answers in the text box. Use the graphs of f(x) and g(x) to...

A: The graph of f(x) and g(x) is as shown:  

Q: A certain triangle has a perimeter of 3083mi. The shortest side measures 74mi less than the middle​ ...

A: Click to see the answer

Q: Shelly and Terrance complted a different number of tasks in a game . Shelly earned 90 points on each...

A: Given expression for total number of points in the game, 90x-20

Q: (a) Explain how to determine whether a function defines an inner product. (b) Let u and v be vectors...

A: Click to see the answer

Q: Prove that a group that has more than one subgroup of order 5 musthave order at least 25.

A: Click to see the answer

Q: Write the domain in interval notation. (a) r (x) =x-4x-12 x-4x-12 (b) s (x) = %3D x+1 x+1 (c) t (x) ...

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

Q: Define T: P4→P3 by T(p) = p′. What is the kernel of T?

A: Click to see the answer

Q: A laptop computer consumes about 20 watts of electricity per hour when operating. At 10 cents per ki...

A: Click to see the answer

Q: Determine the truth value of the statement (p ^ q) => ~q    if A. both p and q are true B. Both p...

A: Click to see the answer

Q: I just need help in checking over my work.

A: The work is correct for problem number 10, 11 and 12 . Here he the explanation for problem number 13...

Q: 3.08 * 0.032=

A: Click to see the answer

Q: If a rectangular koi pond is 14 feet long, 10 feet wide, and 3 feet deep, how many liters does it co...

A: Click to see the answer

Q: For the graph f(x) below, find the indicated information. (6,18) 1아 14 12 10 (-2,4) (-4.0) 10,0) (4....

A: Click to see the answer

Q: Let f(x) = 2x + 3 and g(x) = 5æ² + 4x Compute and simplify the following. (f + g)(x) =

A: Click to see the answer

Q: give a counterexample to show that the given transformation is not a linear transformation.

A: Given,  The transformation                       

Q: Determine the matrix that produces the pair of rotations. Then find the image of the vector (1, 1, 1...

A: Click to see the answer

Q: Use a graphing utility to find u × v, and then show that it is orthogonal to both u and v.u = −2i + ...

A: Click to see the answer

Q: Find a polynomial with integer coefficients that has 1/2 and -1/3 aszeros.

A: Click to see the answer

Q: I need help with 8 and 9   please

A: Given, The function f(x) = x3 . To find the intercepts; For x-intercept, substitute y that is f(x) =...

Q: A project on Kickstarter for an iPad stylus raised 1,113% of their goal, raising a total of $328,440...

A: Click to see the answer

Q: The length of a rectangular room is 2 meters more than the width. The area of the floor is 48 square...

A: Click to see the answer

Q: * Most of the Mauna Kea, a volcano on Hawaii, lays bellow sea level. If this volcano bogins at 5998 ...

A: Click to see the answer