Given matrices P = m 3 "].x = [], and X W and T = [ verify that the statements in Exercises 36-39 are true. The statements are valid for any matrices whenever matrix multiplication and addition can be carried out. This, of course, depends on the size of the matrices. (PX)T = P(XT) (associative property: see Exercises 27 and 28)

Q: Q2: Let A, B be matrices of size 3x3 such that and AB = A+2I A = -101 21 2 find A, B?

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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]

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Q: The 2 ´ 2 identity matrix is:

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Q: If ri is a first row of a square matrix A and r3 is the third row of A such that ri = 2(r3) then |A|…

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Q: True or false: If A, B are square matrices of the same size, then A² − B² = (A + B)(A − B).

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Q: 1.) Let V be the set of all 2x2 matrices A = [] such that the product abcd = 0,1 as the operation…

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

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Q: a) Suppose that A and B are 4 x 4 matrices, det(A) = 2 and det((3ATB)-¹) = . Calculate det(B). b)…

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