114% D 12:46 PM 8: Problem 2 Previous Problem List Next (1 point) In each of the

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114% D 12:46 PM 8: Problem 2 Previous Problem List Next (1 point) In each of the following problems, write the first vector as a linear combination of the remaining vectors. If this is impossible, set all coefficients to NA. If there is more than one solution, enter one of them 4 2 12 3 4 Note: You can earn partial credit on this problem Preview My Answers Submit Answers You have attempted this problem 1 time Your overall recorded score is 33% You have unlimited attempts remaining Email instructor

Explanation / Answer

1.

let the coefficients be a and b

first row: a - 2b = 1

2nd row: -3a-5b = -3

eq(1)*3 + eq(2)

-6b-5b = 3-3

b = 0

a = 1

2.

let the coefficients be a and b

first row: 4a - 3b = -5

2nd row: 2a-3b = -1

eq(1) - eq(2)

2a = -4

a = -2

b = -1

3.

let the coefficients be a and b

first row: 12a + 4b = 1

2nd row: -3a - b = -2

eq(2)*(-4) : 12a + 4b = 8

LHS of above equation is same as first row equation but RHS is different

so there are no solution for this set of equation.

please upvote the answer.

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