Let e ,e2, ez denote, respectively, the following elementary row operations: "Interchange R, and R3," "Replace R, by 3R,," "Replace R, by 2R3 +R;" (a) Find the corresponding elementary matrices E , E2, Ey. (b) Find the inverse operations e-', e,', ez'; their corresponding elementary matrices E, E, E; and the relationship between them and Ej, E2, E3. (c) Describe the corresponding elementary column operations f1,f2 f3. (d) Find elementary matrices F1, F2, F3 corresponding to fi,f2,f3, and the relationship between them and E1, E2 , E3.

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A: domain of dimension = 4

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A: For part a: The objective is to find the inverse of the given matrix A=110202011

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A: Given matrix A=2163

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A:

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A: Please find the solution in next step

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A:

Q: 1 0 0 0 0 1 2 -6 2 -8 10 1 0 1 0 3 -2 -5 -16 |

A: We have to multiply: 1000012-60010003-22-8-5-16

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Q: 3. 3.

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

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A:

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A:

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A:

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A:

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

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A:

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A:

Q: 3. 4. Find the unique vectors y₁, y2 with the properties y = y₁+ y2, Y₁ y2 = 0, y₁ € Col A. Find the…

A: Some useful information:

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A:

Q: 2. for the given matrices A = -3 9 14 7 9 -17 -8 Find : a. A + D b. AA + DDT C. BC d. (AB + AD) T e.…

A: As per our guidelines we can answer only 1 question and only 3 subparts of the given question so…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.