1. Given the following matrices: 1 2 3 4] [4 2 468 A = B = 1 3 5 7 -1 2 2 4] a. [(AC)BT] - DT b. [(BD)TCT] + A Evaluate 8 L4 7 91 5 3 42] C = 1 3 -2 -1 1 2 3 5 3 -4 -1 1 D = 2 -1 1 2 1 41 2-8 9 7-2 5]

Q: Determine the Rank of following 804 Ans. Y 20 O 2 0 0 г о 4

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Q: Compute for the value of the following: 2A – B + 3C (A + B") * (AT – B) * C Computation fo the…

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Q: 6. Given the matrices -1 1 -2 2 0 3 | A В %3D %3D 3 0 4 -1 5 1 Find 3A - 2B:

A: Topic = Matrices

Q: Given; A = 7 [6 10 4 15 and C=11 9 - 6 19 1 12 25 6 40 Use the above matrices to find the following:…

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Q: Refer to the following matrices. C =  4 -1 0     3 −3 4 8 4 6     D =   8 -8 2     5 6 8 −8 5 1…

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Q: 1. Determine the matrices C 2A + B and D A- 3B if 2 8 -6 -3 3. -3 -2 -4 3 0. A = %3D -6 -1 -8 9. -2…

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Q: 1. Given the following matrices: 1 2 [4 2 A= B = 8 1 14 -1 -3 a. [(AC)BT] — DT b. [BD)TCT] + A…

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Q: 3. Given the matrices: (a) Find A-1 (b) Find B-1 (c) Find (AT)-1 A B = 11 1 3 -2 2 -3 2 2 7 9 -4 -7

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Q: 2. Given matrices A and B below, evaluate tr(AAT - 3B) 1 0 A = 0 5 -2 2 [1 1 1 B = 04-6 [1 0 3

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Q: 2. Consider the four matrices, 1 2 3 A = 4 5 6 1 2 B = 1 23 C = 4 56 1 2 D 3 4 3 4 ww 5 6 7 8 9 www…

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Q: Given the following matrices, find 2B- A. [1 0 -3 A = 8 1 01 and B = 6 -1 2 3 -4 5 A 15 2 3 0 -7 8…

A: We have to perform the matrix operation 2A-B.

Q: Given the following matrices: X 2 -3 5 1 -2 -4 5 6 0 5 7 4 Show that (XYZ) = ZTYTXT Y = -3 6 2 6 -4…

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Q: 4- Determine the rank of the following matrices: 2 8] [3 4 5 [1 7 6 ii- A=1 2 3 5 3] [3 9 21 iii- A…

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Q: b) Find the rank of the following matrices: [6 2 A=|0 7 12] 8 [4 2 3] B=8 4 6 L3 5 0] 4 Lo 3

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Q: (b).Use the matrices а A d and 5 3 В 4 7 to illustrate Det AB Det BA det A. det B.

A: The matrix AB and  BA are:…

Q: 8. Let 2x2 matrices A = O a 8, b=5 Oa-6, b-7 none of these a -328-321AB - 2. then If = 4 с d Oa-5,…

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Q: c. Given the matrices 1 7 3 A = 0 5 2, B = 1 -5 3 0 1) -3 -4 -7 -1) 4 and C = -8 -2 -1 13 -11) -15…

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Q: Given the following matrices Find the following: 1. A --C 2 2. B¹ + A A = D = 4 3 5 4 1 0 5 = -2 -4…

A: We have given the matrices A,B and C and we want to compute the given matrices expressions.

Q: compute the indicated matrices AB

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Q: a) Given; A = 7 11 L4 2 ) [6 10 4 1 12 B = [6 vicm Use the above matrices to find the following: (i)…

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Q: b) Find the rank of the following matrices: [6 2 A= 0 7 Lo 3 12 8 [4 2 3] B=8 4 6 [3 5 o] 4

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Q: Find the coordinate vector [x]B of the vector x relative to the given basis B. 23) b1 =| b2 and B =…

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Q: Given the following Matrices 1 1 3 2 4 -2 -1 2 -3 1 1 C = -2 1 2 1 3 1 -2 4 0 5 A = 3 B = 1 -2 1 4 1…

A: As per our guidelines we need to solve only 3 subparts. Please repost the remaining subparts as…

Q: Find the inverse of the following matrix: 1 2 1 2 -1 2 1 1 -2

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Q: 2. Find the row-echelon form for the matrices [1 2 3] A 2 1 5,B = [011] 20 3,C= 10 8 6 4 2 0 -2 -4…

A: A=123215341R2→R2-2R1 ; R3→R3-3R1A=1230-3-10-2-8R2→R2-3A=12301130-2-8R3→R3+2R2A=123011300-223

Q: -1 4 4 2 27 0.8 1.2 1 2(A + B), 2A + 2B, 5A – ĮB, A + B + C 2. 2.

A: According to our company's guidelines I can only answer first three subparts of the first question…

Q: If you have the following matrices : 21 A =-3 0 4] 2 1] B =3 3 -2 2 1 4 21 C= -5 9 1 find 1-A+B 2-AT…

A: Here we have the matrix

Q: 3. Given the matrices [121] [30 A = - [6 2 3]), 02 B = C-3 1 2 3

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Q: 5. diagonalize the following matrices, if possible. 4. 2 2 2 4 3 -1 -2 (1) (2)

A: In this question we analysed by geometric and algebraic multiplicity. If they are equal for each…

Q: Given the matrices: 1 2 03 A = B= -2 0 1 2 +40 +4 [12]-[2] -10 1 D = 3 C= 3 1 E = 3 1 2 0 -1] 2 1 F…

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Q: Given matrices A and B below, evaluate tr(AAT + 4B) TO 3 --- A = 1 1 L5 -4] [1 1 B = 0 0 2 L3 5 0

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Q: Given three matrices 1 A (3) 05 02 c-(; 3) C = 1 1 1 D -(0) Determine the matrix B such that (A + B)…

A: Matrix B is found by comparing entries