Calculate BA where A and B are the following non-square matrices: 1 3 1 0 3 A = B = 2 %3D 2 1 5 2

Q: Let A and B be square matrices of order 4 such that |A| = -4 and |B| = -4. Find the following. (a)…

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Q: Find the following matrices where A = a. A+B b. A-B 47 c. - 5A and B 39 d. 2A + 3B

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Q: Write B as a linear combination of the other matrices, if possible. (If not, enter DNE in all…

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Q: 6 4 (a) -1 2 -2 0 (b) 6 1 0 0 0 (c) 5 5 5 0 0 0 0 -1 -3 (d) 3 3 -2 1

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Q: The identity Matrix is defined by 1 а. 1 1 1. b. 0 1 1 C. 1 1 d. 1 1 Select one: а. с b. d С. а

A: Here we identify the identity matrix.

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

A: Given matrix:

Q: Example 1.2

A: Find the product AB of the two matrices.

Q: Determine whether the matrices A and B are equal.

A: Given two matrices are: A=1-201260 and B=1-2126 To determine whether two matrices are equal.…

Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) 7 2.2 3 1 1…

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Q: find A*B and B*A for the matrices A= 10 1 2 1 1 3 2 -1 B= 0 0 3 1 2 4 -1 -1 0

A: We have to find AB and BA for the matrices                                             A=10121132-1…

Q: Show AB + BA for the indicated matrices. A= 2 3] B = -1

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Q: 1 1 2 A = 0 1 2 3 12 1 2 3 B 4 3 6 5 5 10

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Q: 1 0 6. Given that A' = and B Which of these matrices equal (AB)? 1 2 2 2 (a) 0. (b) (c) -2 -2 (P).

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Q: For square matrices A and B, which of the matrices below are equal to AB? II. (AªB"} I. a. I only b.…

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Q: Find AB given the matrices * A = [, 31 [3 B = -4 2. [1 -2.

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Q: 2) Consider the matrices A= (;) (2) and B= (! %3D -/ 2 Calculate 2A +3B, AR, C0o d BA

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Q: Find the inverse of the matrix using elementary matrices a) 2. b) 3. 2. c) 2. d) 1 3. 1.

A: Given : Matrix 2-310 To find : Inverse of given matrix by using elementary matrices?

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: Express A and A- as a product of elementary matrices. [1 0 51 A = 0 16 li 0 3

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Q: Find values for x, y, and z so that the following matrices are equal: 2r y + 7 -10 13 4. 6 4,

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

A: Given matrix: A=7432

Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) 20 -6 -6 -3…

A: To Find: The inverse of the matrix(if it exists).  20-6-6-311-312

Q: Let A and B be n xn matrices. If AB = [0], then BA = [0]. (A) True B False

A: Matrix multiplication, is not communicative under multiplication.

Q: Determine which of the following matrices is a positive definite matrix? a. 4 4 4 1 b. 2 2 2 1 C. 4…

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Q: Consider square matrices A & B where A#0, B÷0,AB=0. Show that |A|=0 or |B|=0. 6.

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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: Find the value of c that makes matrix A= defective Select one: а. 1 b. -2 C. 0 d. 2

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

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

Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) 1/3 2/31/2…

A: The given matrix is, The inverse exists only for non-singular matrices whose determinants are not…

Q: Let A 0 B² 0 Which of the following matrices are defined? A² OAXB OBXA -1 and B :)

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Q: write B as a linear combination of the other matrices, if possible.

A: Given B=2503 , A1=12-11 , A2=0121Here we write B is a linear combination of the other matrices .

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

A: It is given that, A=243142  and  B=320-1-35 We have to find if possible the matrices:     a. AB   b.…

Q: Given that matrices A and B [1 3 41 A = 2 0 0 lo o 3 [1 0 and B = |1 |1 Where Find (i) (A- 3B)* +B*…

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Q: Find the inverse of the matrix 0 1] a) 2 b) c) OA OB OD OC 1|3 WIN 0 1 2 1 3 2. 0 3 0 1 3 2 0 using…

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Q: Find the product AB, where A and B are the following matrices: 1 0 a 1 0. A 0 0 1 B = -1 0. 1 1 1

A: SOLUTION-

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: 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: Find two nonzero matrices A and B such that AB= 0

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Q: If B is invertible matrix, then (4BT) -1 (A) 블B-1 (B) 4 (B-1)" (C) 4 (B")¯1 (D) 를 (B-1)" (E) BT

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

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

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

A: The matrices A=426135 and B=234-1-20. Then we have to find AB and BA.

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: 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…

Q: Find the adjoint matrix of A and then find the inverse 1 -1 A =| 2 1 1 2 4 ] | 2. 3

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