For simplicity, suppose there are five students in a class. Suppose the scores of these students on three tests are as follows. Student Test 1 Test 2 Test 3 A 80 84 92 B 82 84 86 C 78 76 84 D 86 82 76 E 92 94 88 (a) Write a 5 × 3 matrix A to represent the information. A =                                                                                               (b) What are a11, a12, and a13? a11  =    a12  =    a13  =    What is  1 3(a11 + a12 + a13)?  (Round your answer to one decimal place.) What does this quantity represent? average test scores for the second testaverage test scores for the first, second, and third tests    student A's average test scorestudent E's average test scorethe class's average test score for all tests (c) What are a12, a22, a32, a42, and a52? a12  =    a22  =    a32  =    a42  =    a52  =    What is  1 5(a12 + a22 + a32 + a42 + a52)? What does this quantity represent? average test scores for the second testaverage test scores for the first, second, and third tests    student A's average test scorestudent E's average test scorethe class's average test score for all tests

Q: Use the following matrix. 10-2 3 2 A = 1 40 3 ? What is the element a 31? a31

A: The given matrix is A=10-2321403. We have to find the element a31.

Q: 3. [Multiple questions in one item] Consider the column vector x = 02 3.1. If the product exists,…

A:

Q: Given matrices A and B shown below, find (-3)А + (-5)В.

A: Given,          A=045-4-3-1 , B=-5-5-4-4-54

Q: Find the following matrices where A = a. A+B b. A-B 47 c. - 5A and B 39 d. 2A + 3B

A:

Q: Use the following matrices to evaluate the given expression. (A+B) C

A: To Determine: Use the following matrices to evaluate the given expression. (A+B) C. Given: we have…

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: Use the following matrices to evaluate the given expression. CA

A: This question is taken from the matrix in which we have to perform the multiplication operation of…

Q: 1 2 3 0 11 -2 3 5 1 78 o the columns span all possible 4 × 1 matrices?

A:

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

A: Since, we have been givenA=03-5126 and B=410-23-2Our Aim is to calculate A-B=?

Q: Use the following matrices to evaluate the given expression. 4A

A: From the given data:

Q: cofactor of az12 from A x B

A:

Q: -3 For the matrices A and B, verify that A.B=B.A, where A=[53] and B= 4 4 -51

A: Given :A=5443   and B=-344-5

Q: Consider the matrices below and find the requested products if possible a. Find AB. b. Find BA. A =…

A:

Q: Given the matrices A and B, determine the quantity 2A - B. A = and B - 1 1 (244) 1 1 (² (2₂ 3 -3 3 4…

A:

Q: Simplity the following matrix expression CA +o)?-2A° - 3ABA -A3.8²-B3

A: Matrix

Q: 2. Cadj A. 1 2 В. -2 C. -2 D.

A:

Q: H.W Find the Adjoint to the following matrix 4 X = -3 7 1

A:

Q: Use the following matrices to compute A + B. -4 B = 1 3 1 A = 1 6 -2 3 -6

A:

Q: For the matrices A and B, find (a) 3A, (b) −B, and (c) 3A − B.

A:

Q: H.W:- Find the transpose to the following matrices 4 6 80 5 13 -90

A: Solution: We can find the transpose of matrix by switching its rows with its columns. So the order…

Q: Some entries of a 3x3 matrix A and its are given as follows; 2 3 -4 A = and adj(A) = a 3.

A: Introduction: The numbers or functions are referred to as the matrix's elements or entries. A matrix…

Q: Evaluate the element a23 in the matrix A given by: A = where: A = BC and: a11 a12 a13 a21 a22 a23…

A: Given,

Q: Given matrices A and B shown below, find (-8)A + (7)B. -1 -4 -3 A = 1 3 -1 -2 -2 1 -2 2 3 В — 1 -4 2

A: Multiply A by -8. A=-1-4-313-1-2-21(-8)A=-8-1-4-313-1-2-21(-8)A=83224-8-2481616-8

Q: matrices -2 5 12 - 3 3 B = 2 -5 4 -3 7 4 find the following O A+B ? ® AT .B ? 3 IBI ? O adj-A ?

A:

Q: 3. Find the value of cach letter in the matrices below. i. Find the inverse of the matrix A-

A: The objective of the question is determine the missing elements of the matrices and inverse of the…

Q: 2 14 22 6 10 5 8 92 12 6 D= 10 14 2 E 6 14 12 5 0 9 78 17 15 4

A:

Q: Consider the matrices shown below: Find the value of K such that 4 B-B2C-13 = 5 1 10 18 18 B-¹C – 15…

A: Given B=4-102 and C=142315We know that if A=abcd then A-1=1ad-bcd-b-caB-1=18+12104=192104