2. Multiply the matrices as follows b. [A]{C}

Q: Find the following matrix product, 13 1 3D1 47 6 -4

A:

Q: 12 4 () (23) () (73) 1 1 1 24 24 5

A:

Q: Consider the following matrices: [1 2 3] 4; li 4 3] 3 2 1 [A] 1 [B] -4 1 3 -1. Find: b) 2[A] – 3[B]

A:

Q: Find the QR factorizations of the given matrices: [211 a. A =

A: So, Answering question a.

Q: Diagonalize the matrices below, if possible: (a) [1 0 3 2 1 2 0 0 2] (b) [3 1 1 −4 −2 −5 2 2 5]

A: To Diagonalize the given matrices (a)[1   0  32  1   20  0  2]  (b)[3  1   1− 4 −2 −5 2  2  5]

Q: Compute the indicated product. -1 516 20 2 3-

A:

Q: 5 2 ; B = -2 -2B

A:

Q: Which of the following matrices have characterestic polynomial p(A) = x2 - 10A +1 Select one: a. b.…

A:

Q: Given the matrices A and B, determine the quantity 2A - B. A = and B - 1 1 (244) 1 1 (² (2₂ 3 -3 3 4…

A:

Q: Let A and B be two 4 × 4 matrices with rank(A)<4. Then rank(A²B)<4. Select one: O True O False

A:

Q: 2. Compute both AB and BA for the following matrices, and observe that AB + BA: -1 [] B= B-[83] and

A: To compute AB and BA for the following matrices, and to observe that .

Q: Q4. Determine and verify the inverse of the following matrix A=1 3 2 I 2 5

A:

Q: Let A and B be 4 x 4 matrices. Suppose that |A| = 2 and |B| = 9. Write down the value of…

A:

Q: determine which of the following matrices are nonsingular:

A: to determine the matrix which is non singular.

Q: H.W:- Find the transpose to the following matrices 4 6 80 5 13 -90

A: Solution: We can find the transpose of matrix by switching its rows with its columns. So the order…

Q: a: Diagonalize the following matrix, if possible [4 1 3] 3 8 7 12 7 51

A:

Q: For the given matrices, state whether or not the following algebraic manipulations are defined, and…

A:

Q: Find the LU factorization of the following matrix: 203 1 3 1 01 1

A:

Q: The matrices [2 1/2 1² 1] and [33 }] are row equivalent. -1 0 -2 LO A True B) False

A: Given matrices are 1-10211and 301031 Now find the given matrices are row equivalent or not:

Q: Use the following matrices to find the sum and product of A and B. [: 3 1 0 -2 0 1 A = 2 -5 4 B = 4…

A:

Q: Consider the two matrices: Compute A + 3B. The result is equal to: Select one: O a. O b. O c. 4 -12…

A: (.)  Given matrices are , A=   2  4-6  0   ,    B =    1 -5-3     2 now we find  12A+3B .