QUESTION 1 P 0 0 9 0 00r Show that 0 Hence, determine the inverse of the following matrices: 100 i. 01 0 = 0 0 where p, q, r +0. 001 0 00 1

Q: Verify AB = BA for the matrices below.

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Q: - ; Let A be a square matrix such that A? – 7A+ 81 = 0 (where I and 0 are the identity and zero…

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Q: Let A and E be the 3 x 3 matrices: a [3 -- -- A = d ef and E = 0 9 h ก 10 b 01 1 0 0 1 Which of the…

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Q: Show that matrices A and B = are inverses of each 2 3 other.

A: See the details solution in below

Q: Find the power of A for the matrix A = A16 = -1 000 0 0 1 0 0 0 00-1 0 0 000 1 0 0000 -1 00081 00000…

A: We have to solve above matrix question

Q: 1 1 1 2 -1 2 1. A= 1 3 3 1212

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Q: Find the inverse of the matrix below. Show your work. A = [14 460 1 0-4 1 0 2 0 -3 0004

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Q: Let A= 1 2 3 B = [0 1 201 71.0= C: 0 1 0 -3 3 1 Compute the following matrices. If an answer doesn't…

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Q: Find the inverse of the matrix.

A: The matrix a0000b0000c0000d has only its diagonal elements not equal to zero. All other elements are…

Q: Let A, B be two square matrices, then mark all correct answers a. A°=1 O b. (AB)"= BTAT O c. (AT+…

A: Correct answers are:  a, b, c, e, f.

Q: Find elementary matrices e and e2 such that di 0 e2 = 1 5 1 5 e1 0 dz) for some numbers d and d2.

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Q: Find the inverse of the below matrix A and verify your answer by multiplying A and its inverse.…

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Q: Find the inverse of matrix A given below using the formula A1 = CT |A| -6 -4 -4 6 A = -1 -4 -6 -1

A: The inverse of a matrix A is defined as AA-1=I, where I is the identity matrix. In this problem the…

Q: Make a change of variable, x = Py, that transforms the quadratic form 3x, + 14x, x, + 3x, into a…

A: To find the solution of the given problem we find the matrix representation of the quadratic form.…

Q: 1 2 3 20 14 3. Let A= and C= 6. 56 41 Find all matrices B such that AB = C. 4.

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Q: 1. (С"В)А" 3 4. A = B = 3. 1 2. tr(4ET – D) 1 1 2 6. 1 3. D = -1 1 E = -1 3 4 4. 1 3

A: To compute the indicated expression using the given matrices.

Q: Exercise 1.2 Inverse of Matrices Find the inverse of the following matrices: 5 -5 -2. 13 1. ( v0 -2…

A: We are entitled to solve only one question at a time and up to 3 sub-parts only. To find- Find the…

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

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Q: (a) 2 1 5 8

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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 .