Define appropriate vectors and matrix

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Question: Consider the problem of determining whether the following system of equations is consistent for all b1, b2, b3:

2x1 - 4x2 - 2x3 = b1

-5x1 + x2 + x3 = b2

7x1 - 5x2 - 3x3 = b3

a. Define appropriate vectors, and restate the problem in terms of Span {v1, v2, v3}. Then solve that problem.

b. Define an appropriate matrix, and restate the problem using the phrase "columns of A."

c. Define an appropriate linear transformation T using the matrix in (b), and restate the problem in terms of T.

Reference no: EM131554516

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