1. Let matrices be 6 -2 -21 94-4 [3 1 B = 4 7 0 C=0-2 A 10 -3 1 -10 5 1 1-4 0 11 [4 0 a = 1 b=[308] 2. Calculate the following products and sums or give reasons why they are not defined. i. Aa, Ab, AbT, AB İİ. AB, BA, AAT, ATA iii. a¹A, bA, 5B(3a + 2b¹), 15Ba + 10Bb™ iv. B³, BC, (BC)², (BC) (BC)T v. aTCCTa, aTC²a, bCTCb¹, bCCTbT

Q: 5. Add the matrices. 2 -5 6 -3 -1 -4 1 4 0 -4 -5 2. 5 4

A:

Q: Suppose that A, B, and C are 5 x 5, 5 x 2, and 2 x 9 matrices, respectively. Determine which of the…

A: Matrix SizeA          5x5B           5x2C           2x9Find the size of the matrixa) ABb) BAc) ACd)…

Q: [11-12 4 2. Let A 14 6 [12 107 10 12 B= -5 12 be two matrices. Find AB. -2 9 15 16 2.

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Q: Construct the inverse matrix (if it exists) for the following matrices: [12 61 (а) А %— 4 2. 1 -2]…

A: We will find out the required solution.

Q: Use the following matrices to evaluate the given expression. 3A-2B

A: We have to evaluate the expression 3A-2B for the given matrices: A=03-5126, B=410-23-2, C=4162-23…

Q: Find the inverses of the matrices or show that they do not exist. -5 -3 1 -2 A B= = 1 6 = 2 -3

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Q: -5 and B = 1 -4 -4 1 If A = find 4 -3 -2 A · B, if possible. Select the correct answer below: -24 10…

A: Given  A=1-5-31 and B=-4-4-24

Q: 1.Let matrices be 19 4 -4 B = | 4 7 [-4 0 11] -2 -21 1 [3 C = 0 -2 A =| 10 -3 1 L-10 5 1 [4 a = |1 b…

A: "Since you have asked multiple questions, we will solve the first question for you.  If you want any…

Q: Given the following matrices, find and simplify BACT. [4 1 [6 1 0 -1 +49 674) A = [4 = [5 -5 1 O A.…

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Q: Three matrices are written below as an example. You write your own matrices by changing the numbers…

A: We have to calculate the following operation for these matrices.

Q: |18 3 12 [-10 7 -10 | A : 12 -12 B 8 11 4 6 18 -9 -11 12 -5

A: matrix addition k[A]+B= [kA +B ]

Q: 3. Add the following matrices. [5 -2] [-8-41 3-4 +11 L5 7 6 10 -7]

A: Given query is to add the matrix.

Q: 2. Given the matrices A and B, find the products AB and BA 132 23 A = -2 14 B = 14

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Q: 121 A= 4 4 5 677 B = -7-76 21-1 45-4 Are these matrices imerses of each other?

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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…

A:

Q: Given that -1 2 -2 1 0 -2 A= 1 and C= -3 2 1 1 -1 3

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Q: 4 -1 If A = 3 3 and B = -3 find 1 -1 -2 A ·B, if possible.

A: For the multiplication , the number of column of first matrix must equal to the number of row of…

Q: Load the following matrices in your calculator and A = [3₁] [2 D = 4 11 9. A + B 11. AB 13. A-¹ -2 3…

A: The given matrices

Q: Consider the following matrices: -(; ) -) -() 0. 1. -1 3 A В 1 -3 C = |3 4 2 1 2 2 -1 Perform each…

A: a A+B is not define because size of matrix A and B is not same  A is 2*2 and B is 3*2 matrix so...…

Q: 2. Given matrices A and B below, evaluate tr(AAT - 3B) [1 0 -2 2 A = 0 5 [1 1 4 0 B = 0 1 1 -6 3

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Q: Add or subtra t the given matrices if possible

A: If the number of rows and columns of both matrices are same, then matrix addition is possible.As in…

Q: 1. Multiply the following matrices; if you can't multiply the matrices, then explain why. 2 -3 1 1 3…

A: This question is related to matrix multiplication, we will solve it using given information.

Q: Find the area of each circle, given the radius r or the diameter d. Leave your answer in tems of t.

A: See the detailed solution below.

Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

A:

Q: 1 -3 -1 HA=[2] [2 If A = and AB = - 3 4 b₁ = b₂: = - 11 9 -2 86 determine the first and second…

A:

Q: Find A-E and the elements from the matrices

A:

Q: 5. ( 4 0 -2) D= -2 1 -2 5 A= B = (-1 4 3) 3 3 (1 -' H= (3 3 2 E= 5 0 -1 4 -1 G= -2 5 F = (3 -2)…

A: Given-  A = 51          B = -143         C = -2532        D = 40-2-211134E = 33250-1      F = 3-2…

Q: -2 3 -4 -4 If A = 4 5 and B = 2 -5 -2 -5 -3 3 find A · B, if possible.

A:

Q: 1 31 C = 3 4 [2 59 1 A%3D B = D = 01 3 7 6. 1. What is the size of Matrix C? Size: 3X 2 2. Can…

A: We will use the property of matrices The answer is given below