Question: Given matrix A = 1 2 0 0 1 2 2 0 4 and vector b = 1 2 3 (a) Determine if the columns

Given matrix A =

1 2 0

0 1 2

2 0 4

and vector b =

1

2

3

(a) Determine if the columns of A span R^3 . Explain. You may use a calculator.

(b) If the answer to the previous question is 'yes', write ~b as a linear combination of the columns of A. You may use a calculator.

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