For what value(s) of k is the matrix not invertible? kk 0] k2 2 k 0 kk (A) -3 B C) 4 D -4 -5

Q: If A is a 3x3 matrix and det(A) = 7, what is det(2A)?

A: Solution :-  Given : A is a 3×3 matrix               And det(A) =7

Q: 2 4 If A 1 4 - [3³] and B = [2 56 [4 2 24 find matrix such that 2A + B + 4X=0

A:

Q: If matrix A is 12 xc and matrix K is 4 x t, their product AK is r x 7, what are the values of c, t,…

A:

Q: Suppose A and B are invertible 1 x n matrices. Check all the true statements below. ABB÷¹A = AI„ A =…

A:

Q: 9. Do the columns of the matrix A = 7. span R

A:

Q: What is the determinant of the matrix O O O 4 32 1 2 -1 3 1 2 2 3 2 -1 -1 1 2 -1 2 ?

A:

Q: 2 -3 For matrix A = -2A? will be %3D -1 4

A: See the attachment.

Q: * ( For the matrix shown find (- 3 A 3 - 1 4 1 A = %3D 1 1 6.

A:

Q: Q1 (d): Find the rank of the matrix A. 1 0 5 0 1 -2 2 -2 -1 1 -6 3 -2 12 2 -3 0 2

A:

Q: Find the row reduced echelon  matrix R and invertible matrix P such : R = PA             -1     1…

A: The given matrix is: A=-11-10-34114-6-4-2310-14. To find row reduced echelon form of given matrix,…

Q: Find the matrix A if 4 1     −1 3A =  3 4     1 2. A =

A:

Q: Find the size of the matrix [3 2 −3 2 −5 −5]

A: Size of matrix is same as order of matrix

Q: Q8: Given that -2 X = 1 8 -8 -9 -9,Z -7 7 -2. -8 5 what is the matrix 3X + Y – 3Z?

A:

Q: 5 k A = -9 -1 have one real eigenvalue of multiplicity 2? k = 2/9

A:

Q: Find a non-zero 2 x 2 matrix such that Note: 4890 -7 -67 28 24 =

A:

Q: Q10. If the adjoint matrix (ACT) of a matrix A is given by 2 2 of A is (-2 1 2), then the det (A)…

A:

Q: Choose the correct:  If A is square matrix such that              A2= A, then (I + A)³ – 7 A is…

A: Given that, A is a square matrix

Q: 4 x x -4 3.) Solve for x: %3D 2 7 6. X -2

A: Explanation of the answer is as follows

Q: Find a matrix A such that 2A-3B+5C=0 -2 Where B= 2 0 3 1 4 [2 0 -2 andC = 7 1 6

A:

Q: Write an augmented matrix for the follo 6x - 5y +z = -9 8x - 7y +z = 7 9y-2z = - 2 %3D %3D

A:

Q: Diagonalize the following matrix. - 10 –24 2 4 P : D = p-1 –

A:

Q: Suppose that A is a 3×3 matrix and det (A)=-3. What is det (4A)? Select one: O a. -3/4 O b. -3 О с.…

A: The answer is as follows: det(4A) = -192.Explanation:Steps and explanations are as follows:In case…

Q: Find the LU factorization of the following matrix: |2     0   0| |0   −3   1| |10  12  3|

A:

Q: Find a non-zero 2 x 2 matrix such that -6 -8 30 40

A: