find AB, BA, A +B, A - B, A, B, 5A, 3B. Observe that AB + BA. Show that (A - B)(A + B) # (A + B)(A – B) + A? - B. Show that det AB = det BA = (det A)(det B), but that det(A + B) # det A + det B. Show that det(5A) # 5 det A, and find n so that det (5A) = 5" det A. Find similar results for det (3B). Remember that the point of doing these simple problems by hand is to learn how to manipulate determinants and matrices correctly. 2 -5 2. A =

Q: If  A= [ 1  3  1 ]        And     B= [ 4  4  -4 ]      [ 3  1  2 ]                          [ -4  0…

A: AB=

Q: Hiw.S Let Asitij-zk, B=-i-kandc=zituj-zk finds A-(2B-c) 4-2AX3B saCAXB).c 6- Ax(Bxc)

A: Given that: A=i+j-2kB=-i-kC=2i+4j-2k NOTE: As per our answering guidelines, we can only answer 1…

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Q: Let a = (-5, 5, 4) and 6 = (-1,-4, 5). (a) a × b x (41,-21,24) x (b) b × ā X = (c) (ã × b) × ã = (d)…

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Q: 51 -1 4l* 3 Q2) If A = |, and B =Ľ show that -2 (A + B)² # A² + B² + 2AB

A: Given: A=12-21 and B=35-14Then A+B=12-21+35-14=47-35(A+B)2=A+B×A+B=47-35×47-35=-563-274

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A: We will find the required.

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A: A=1213 Now determinant value is, A=13-12=1 Adjoint of matrix A is, adjA=3-2-11 Now,…

Q: Find A.

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Q: ū = (-2,5) and v = (4, 8), find –3ü+ ū. %3D elect the correct answer below: (2, 13) (7, 13) (2, – 7)…

A: Simplification

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A: The integral to be solved is . Since the integration is indefinite; a constant of integration is to…

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A: Given, ∫t2t2+2-12dt

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A: Given F is field, So,  0, 1∈F ( since a field F must contain zero element and unity ) A field is…

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A: We have to find cross product

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Q: If A = {2, 3}, B = {1,3}, C = {1, 2}, determine (A × B × C) n (C × A × B).

A:

Q: 3. Is B the inverse of A? 1 (a) A = -3] 3] 7 B = 7 [3 2] ,B 4 3 3 -21 (b) A = -4 3 [3 5] 3 . В - B =…

A: Yes, in all (a),(b),(c) .....B is the inverse of A  For detailed explanations ..go through the…

Q: 1. Which of the following expressions are monomials with degree 2? i) 2x + 2x ii) 2x2 iii) x iv) 2x…

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A: