The solution set of a linear system whose augmented matrix is [a b c d] is the same as the solution set of Ax = d, where A = [a b c]. Note: a, b, c, d are all column vectors. True/false

Question

Mathematics

Kailey

23 November, 16:15

The solution set of a linear system whose augmented matrix is [a b c d] is the same as the solution set of Ax = d, where A = [a b c]. Note: a, b, c, d are all column vectors. True/false

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Answers (1)

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Smarty · Answer 1

True

Step-by-step explanation:

First statement

[a b c | d][x]

[a b c]x=d

ax+bx+cx=d

Second statement

Ax=d

Given that A = [a b c]

[a b c]x=d

ax+bx+cx=d

ax+bx+cx=d

Then, they are going to have the same solutions