Compute AB, det(A), det(B), det(AB), and det(A + B) for the following matrices. -1 -1 and B = AB = det(A) = det(B) = det(AB) = det(A + B) =

Q: find the inverse of matrix B= -87 to

A: Inverse of the matrix can be calculate by finding adjoin of the matrix and determinant of the…

Q: The inverse of a matrix A is written as A- such that AA-1 =A-A=

A: Clearly we know that, AA-1 = I.

Q: Find the inverse of the matrix A, where 3 0 1 A =|1 00 3 1 0] A1 =

A:

Q: Example 1.2

A: Find the product AB of the two matrices.

Q: Show that AB and BA are not equal for the given matrices.

A:

Q: Find the matrix product AB, if it is defined. 1 0 2 - 2 A = 0 3 B = 2 -2 2.

A: Given, A = 1003  B = 32-22-22  We have to find the product matrix AB.

Q: Show that AB and BA are not equal for the matrices

A: Given: The matrices are given as, Finding the value of AB by using matrix multiplication,

Q: For the two matrices shown, find the * addition 2 1 1 - 2 - 1 1 -1 + - 2 1 3 2 1 2 -1 1

A:

Q: If A and B are matrices 3 x 3 order with 12A| = -1 and |2B³| = 16, then calculate |A-1B"|.

A: Here, A and B both are of the order 3×3. So, A-1 and BT are of the order 3×3. Now, from the…

Q: Find the inverse of the given matrix, if it exists: A A-1 = || 2 1 1 You 1 1 4 대회 0 12 2 4

A:

Q: Determine if the following operation on the two given matrices is defined, and if it is, determine…

A: [2    -2    0]          [-8] [2    -1    6]          [2] [-7   -7   -3]         [7] [0    -9    6]

Q: Find the inverse of each of the following matrices: 1 3 5 2 1 2 (а) А — (b) А -

A: We have given matrix as   (a) A=1352 (b) A=1221   We have to find the inverse

Q: For any two 3 x 3 matrices A and B, we have (А + B)(А — В) — А? — АВ + ВА - В?

A: Given statement: For any two 3×3 matrices A and B, we have

Q: For the two matrices shown, find the addition -4 6 3 -4 6 3 0 1 2 + 0 1 2

A: Given two matrices are  -463012 and         -463012find the addition of these two matrices

Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) -4-2-4 3 1…

A: We first find the augmented matrix then by using elementary row operations, we find the inverse of…

Q: Compare (AB) 1 to B 'A for the matrices below. 2 1 4 9 A = B 11 1 2

A:

Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) -3 -2 -6 3…

A:

Q: -1 0 0 -1 0 1 -1 2 0 -1 2 -1 0 0 -1 2

A: Solution:- Given matrix is -

Q: Select the pair of matrices, A and B , for which AB = 0, even though A + 0 and B 0. 6 4 1 -1 O A =…

A:

Q: - 1 2 A = 5 , B = -2 2 4 5 -3

A:

Q: If a matrix A is such that, 3A³ + 2A² + 5A + I = 0 then its inverse is?

A:

Q: Find the inverse of the matrix (if it exists).

A:

Q: Find the inverse of the given nonsingular matrix. -1 1. 2 -1 4. 3 0

A: Topic - inverse of matric

Q: Find the product of the following two matrices.   [-1     -2     -1] [4       0      -5]     [2…

A:

Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) -5 3 -6 -2…

A:

Q: Find the inverse of the matrix (if it exists).

A: Determinant is not zero,therefore inverse matrix exists.

Q: Find the inverses (in any legal way) of the matrix A, where 3 -2 A = 1 if it exists. -1 -1 1

A:

Q: If A and B are 3 × 3 matrices and detA=2 and det B = 4, find det (5A* BTΑ-)

A: See the details solution in below

Q: Find if possible the matrices: a. AB   b. BA.

A: Given that: The matrices, A = -1-2-3  , B = 123

Q: For each of the following matrices A, find a matrix B + A that is equivalent to A: 1 -2 (a) A=| 0 3…

A: Given matrix is  (a) A=1-2  3  10-1  4   31  0-2 -1 To get an equivalent matrix of A but not equal…

Q: d) Consider the following matrices: and B- 2 Find: A- i) (2AB) -1

A: Given A = 1-32-4 and B-1 = 21-11

Q: For matrices A, B, and C, if A is invertible and AB-C, then True False B = CA-¹.

A:

Q: Find the inverse of the matrix if it exists.

A:

Q: -1 Find the product of matrices of A = 1 and B -2 -1 3 0 2 1 -1 0

A: The given matrices are: A=-1310-2-1,B=3021-10

Q: Find the inverse of the matrix (if it exists).

A:

Q: 1. Find the rank of the following matrices -2 [ 1 2 3 1 2 -2 -3 -1 3 2 (i) ( ii) -2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the inverse of the matrix A, if it exists. (If an inverse does not exist, enter DNE.) -3 A = 3…

A: We have to find the inverse of matrix

Q: Consider the following two matrices: -1 4 1 A = 1 В — 3 1 0. - 3 -1 -2 1 Which of the following four…

A: Given matrices are: A=-142-130 and B=210310-1-21 We know that product of two matrices exists if the…

Q: For the two matrices shown, find the * addition 2 1 - 1 1 1 2 1 - 2 - 2 3 2 1 3 1 2 1 1

A:

Q: ". (^) ", (2)". Use the inverse matrices to find (AB and ( 2A -2 1 2 4 2 2 3 1 A-1 1 1 1 %3D B-1 %3D…

A:

Q: Find 2x2 matrices, A and B, such that AB = 0, but BA is NOT EQUAL to 0.

A:

Q: Find the inverse of the matrix and verify that A-1 A = AA-1 =  I2 and B-1 B = BB-1 = I3.

A: see below the answer

Q: For the two matrices shown, find the * addition 2 1 -1 1 1 2 1 - 2 3 2 1 3 - 2 1 2 1 1

A:

Q: Given that A and B are two 3 x 3 matrices, det(A) = -2, det(B) = 3, find the following (do not round…

A:

Q: Find ∣A∣, ∣B∣, and ∣AB∣ for the matrices

A: given: A=1-22032101 B=2010-1-231-2

Q: Find the inverse of the matrix (if it exists).

A: Given: -1000120003

Q: Find the product of the matrices shown below. 1 3 2 1 4 A = X 1 1 2 1 1 1

A: Given product, A=132214012101×211

Q: Solve for (A + B^T)*(A^T-B)*C and compute for the matrix inverse of B and AB.

A: Follow the procedure given below.