(a) Determine if the transformation defined by each of the following standard matrices is injective and/or surjective. i. 1 15 4 1 3 1 5 1 2 0 1 1 -3 5 2 1 ii. 1200 -2 -3 5 3 -4 -4 4 4 iii. 1 0 -3 -1 6 0 1 -4 -2 12 4 1 5 15 -27 0 0 -5 -5 15 iv. -5 -10 5 20 -3 -6 4 15 2 4 -2 -8 -5 -10 2 11 (b) Which of the above transformations was bijective?

Q: Evaluate the matrices 4 - 2 1 7 4 O 4 product C - 3 2 -10 of the 9 -3 and = 3 -1 २ 15 -

A: We have  A=24-310274-10 and B=0-373-152158 we have to find  C=AB

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A:

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A:

Q: Find the QR factorizations of the given matrices: [211 a. A =

A: So, Answering question a.

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A:

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A: Given : a…

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A:

Q: 30. a) Evaluate b) Evaluate S₂³ y cos(x) dA, where D is bounded by x = 0, x = y², y = 1. xy² dA,…

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Q: -i [1 1. |0 li 4+i -2 4 – i 3.

A: To find out the given matrix is real , symmetric, skew-symmetric, hermitian or skew-hermitian .

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A:

Q: Base your answers to the fill-in questions below on the following diagrams (a) w b • y e • (b) а . b…

A: Use the definitions to answer.

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A:

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Q: 6.- For the matrices [A] g 3 -2 4 -2; [A] =-5 3 3 2 3

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Q: IV. Classify each of the following matrices according as it is (a) real, (b) symmetric, (c)…

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Q: Use the inverse matrices to find (AB)¯¹, (A7)¯¹, and (24)¯¹. 1 1 1 2 2 1 3 1 244 A-1 = (a) -2 1 3 2…

A:

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A: