Question

Express the column matrix b as a linear combination of the columns of A. (Use A1, A2, and A3 respectively for the columns of A.) A = [1 1 -2; 1 0 -1; 3 -1 -1], b = [4; 1; 0] b = 1, 3, 0

          Express the column matrix b as a linear combination of the columns of A. (Use A1, A2, and A3 respectively for the columns of A.)

A = [1 1 -2; 1 0 -1; 3 -1 -1], b = [4; 1; 0]

b = 1, 3, 0

Added by Luz M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Kranti S

02/23/2022

Step 1

Given: \[ A = \begin{bmatrix} 1 & -2 & 1 \\ -1 & 3 & -1 \\ -1 & -1 & 0 \end{bmatrix} \] \[ B = \begin{bmatrix} 1 \\ 3 \\ 0 \end{bmatrix} \] We want to find scalars x, y, z such that: \[ x \begin{bmatrix} 1 \\ -1 \\ -1 \end{bmatrix} + y \begin{bmatrix} -2 \\ 3 \\ Show more…

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Express the column matrix b as a linear combination of the columns of A. (Use A1, A2, and A3 respectively for the columns of A.) A = [1 1 -2, 1 0 -1, 3 -1 -1], b = [4, 1, 0] b = 1, 3, 0