2 -5 3 B = 1 A = -2 6' 11

Q: Find the inverse of each of the following matrices: (a) [4, -2, 1 ; 7, 3, 0 ; 2, 0, 1]  (b) [1, 0,…

A:

Q: 3: For the matrices, A = [1 and B = 01 -31 (a). Show that, (A+ B)" AT +B". (b), Show that, (AB)-1 =…

A: Show that  a) (A+B)T= AT +BT  b) (AB)-1= B-1A-1  For the matrix A and B .

Q: Let A, B, and C be the following matrices. ] c-[] -8 6 -7 7 3 4 A = B 4 Find the products AC and BC.…

A:

Q: Find the inverse of the given matrix if the matrix is invertible, and check your answer by…

A: Given that: A=1247

Q: Perform the indicated computations when possible, using the matrices given below. (If an answer does…

A:

Q: Find the inverses of the matrices or show that they do not exist. -5 -3 1 -2 A B= = 1 6 = 2 -3

A:

Q: (c) Find A-1 and B-1 using the adjoint matrices you found in part (b).

A:

Q: Find the products AB and BA for the diagonal matrices.

A: Given matrix:

Q: Perform the indicated computations when possible, using the matrices given below. (If an answer does…

A: The objective is to perform operation(s) mentioned in each part. For part (a) Find:

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: Give the two matrices, i 2 3] A = |1 1 2 0 1 2 1 1 and B = 2 1 2 3 1 2 (a) Find det A, det B,…

A: We have given

Q: If A is the 2 × 2 matrix given by a b A = and if ad – bc + 0, the inverse is given by d -b A-1 = ad…

A: If A=abcd then A-1=1ad-bcd-b-ca ; ad-bc≠0.

Q: Find the inverse of the matrix, if x = 8' and y = 0 respectively. (1 1 x 1 2 -1 2 1 -1 (1 3 3 y 1 1…

A: Putting x=1 and y=0, the required matrix will be 1181 12-12 1-121 1330 We have to find the inverse…

Q: Find the inverse of the following matrix, A-1, in terms of the method of adjoint matrix, adj A: 3 1…

A: Given Matrix: A=3010101−10

Q: Find the inverse of the matrix, if possible. (If an answer does not exist, enter DNE in any cell of…

A:

Q: d) Consider the following matrices: [1 -3] and B- Find: i) A- ii) (2AB) -

A: Given matrices are A = 1-32-4 and B-1 = 21-11

Q: For the matrix shown, find the inverse of (A) a- [: }] 1 1 2 A= 2 3 A-1 - [ 3 a O 2 3 A-1 = 1 2 b

A:

Q: Which of the given matrices are singular? For the non- singular ones, find the inverse. 1 37 1 3 (a)…

A:

Q: Verify the matrices A and B are inverses of each other by calculating the products AB and BA.

A: Here we have to Verify the matrices A and B are inverses of each other by calculating the products…

Q: Find a, b, c, x, y, and z to make matrices A and B equal if 1 x +1 b- 2 1 2 -1 A = a y + 1 2 and B =…

A: Two matrices are called equal matrices if they have the same order or dimension and the…

Q: Partition the given matrix so that you can apply one of the formulas from the fig , and then…

A: To find the inverse matrix, augment it with the identity matrix and perform…

Q: [1 3 A = 0 2 2 2 l2 1 1.

A: given matrix is                                                A=131022211 we have to find inverse…

Q: Assuming that all matrices are n x n and invertible, solve for D. CTB-A² BAC-'DA-²B"C-2 = CT

A:

Q: Find the products AB and BA for the diagonal matrices.

A: Given the diagonal matrix:

Q: Use the inverse matrices to find (AB)-1, (A')1, and (2A)-1. A-1 1 -2 B-1 %3D 2. (a) (AB)-1 (b)…

A:

Q: Find the inverse matrix, if it exists. (If the inverse does not exist, enter DNE into any cell.) 15…

A: The given matrix is A=21518.   The inverse of a matrix A=abcd is given by, A-1=1Ad-b-ca Here, A-1 is…

Q: For the given matrices, find (AB)-¹ 2 5 441 B -7 7 6 35 17 B) 4 10 A) 35 10 4 17 11 2 C) 3 3] 0 4 17…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: If A is the 2 x 2 matrix given by a b A = and if ad - bc 0, the inverse is given by d -b A-1 = ad bc…

A:

Q: Find the products AB and BA for the diagonal matrices. 5 A = -3 0 B = 0 -2 0 4 AB = I 1 BA =

A: Given Matrices are A = 500-2  ,   B = -3004

Q: Use the inverse matrices to find (a) (AB)−1, (b) (AT)−1, and (c) (2A)−1.

A:

Q: Find the inverse of the matrix if it exists. (If the answer does not exist, enter DNE in any cell of…

A:

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: Determine whether the given matrices are inverses of each other by computing their product. 1 4 -1…

A:

Q: Find the inverse of the following matrices: 1) 3 A = 2) (: ) A = 3) 1 3 1Y A = 0 3 4 2 0

A:

Q: Consider the matrix A 1 2 11 A = |1 5 0 [3 0 5/ Find the adjoint of A. b. Find the inverse of A. а.

A:

Q: (a) 2 1 5 8

A:

Q: Use the inverse matrices to find (a) (AB)−1, (b) (AT)−1, and (c) (2A)−1.

A:

Q: If A is the 2 x 2 matrix given by a b A = and if ad – bc + 0, the inverse is given by 1 d -b A-1 =…

A: Using the formula, A is invertible.

Q: For matrices and 3 -8- -20 B = 8 show that A +B = 1 , 4 where / is the 2×2 identity matrix

A: Given the matrices :

Q: Consider the matrices A = and B c d Show how you use the dot product definition to calculate ONLY…

A:

Q: Find the products AB and BA for the diagonal matrices. 5 0 -2 A = ^- [8] [9] B = I -4 0.3 AB = BA =…

A: The given matrices are; A= 5 0           , B= -2 0       0 -4                   0 3.

Q: For the matrices shown, find (A' + B') 1 2 1 -3 -1 0 3 3 -1 4 1 4 B = A = 1 1 6

A: A' is Transpose of matrix A

Q: Find the inverse of the matrix if it exists. (If the answer does not exist, enter DNE in any cell of…

A: Given: A=423332101 We have to find the inverse of the matrix A if it exist. Use, If the determinant…

Q: For the given matrices, find (AB)-¹. 7 2 5 B-1 = | 4²¹-[ -7 6 2 0 B) 17 C) A) 35 10 4 17 35 17 4 10…

A: (AB)-1= B-1 A-1

Q: A and B are twonxn matrices, then which one of the following statements is always true? OA…

A: Choose the correct option.

Q: Find the inverse of the matrix. (If an answer does not exist, enter DNE into any cell of the…

A: Given matrix:   To find: Inverse of above matrix

Q: Find the magnitude of x, y, and z from the following equations by using the inverse matrix 2x + 3y +…

A: Solution

Q: Give the two matrices, [1 2 3] 1 1 A = |1 1 2 and B= 2 1 2 0 1 2 1 2 (d) Find (AB)-1 and (BA)-1.

A: Explanation: Given that,                          Here both matrix are 3*3. So, multiplication is…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.