Answer to Question #301142 in Linear Algebra for Sri

Question #301142

For which value of k will the vector v1=(1, −2, k) in R

3

be a linear combination of

v2 = (3, 0, −2) and v2= (2, −1, 5)?

Expert's answer

"\\vec v_1=a\\vec v_2+b\\vec v _3"

"3a+2b=1"

"0-b=-2"

"-2a+5b=k"

"a=-1, b=2, k=12"

"k=12"

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