 Quandaries and Queries

Who is asking: Student
Level: Secondary

Question:
I am trying to augment a matrix so that i can find the values of the variables a, b, and c. For the life of me i can't find a solution to the

matrix:
3 -5 2 ' 22
2 3 -1 ' -9
4 3 3 ' 1
I thank you for your help,
Michelle

Hi Michelle,

Multiply the second row by -1 and add it to the third row.

 3 -5 2 22 2 3 -1 -9 2 0 4 10

Divide the third row by 2.

 3 -5 2 22 2 3 -1 -9 1 0 2 5

Multiply the third row by -2 and add it to the second row.

 3 -5 2 22 0 3 -5 -19 1 0 2 5

Multiply the third row by -3 and add it to the first row.

 0 -5 -4 7 0 3 -5 -19 1 0 2 5

Multiply the second row by 2 and add it to the first row.

 0 1 -14 -31 0 3 -5 -19 1 0 2 5

Multiply the first row by -3 and add it to the second row.

 0 1 -14 -31 0 0 37 72 1 0 2 5

I can't avoid fractions any longer. Divide the second row by 37.

 0 1 -14 -31 0 0 1 72/37 1 0 2 5

Finally multiply the second row by 14 and add it to the first row and then multiply the second row by -2 and add it to the third row.

Penny

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