Convert the given system to an augmented matrix. -2x_1 + 5x_2 - 10x_3 = -9 x_1 - 2x_2 + 3x_3 = 7 7x_1 - 17x_2 + 34x_3 = 28

imire37

imire37

Answered question

2022-08-07

Converted the given system to an augmented matrix.
2 x 1 + 5 x 2 10 x 3 = 9 x 1 2 x 2 + 3 x 3 = 7 7 x 1 17 x 2 + 34 x 3 = 28

Answer & Explanation

Jewel Brooks

Jewel Brooks

Beginner2022-08-08Added 15 answers

Writing the given system in Augmented form of Matrix we get
[ 2 5 10 9 1 2 3 7 7 17 34 28 ] R 2 R 1 [ 1 2 3 7 2 5 10 9 7 17 34 28 ] R 2 \toR 2 + 2 R 1 [ 1 2 3 7 0 1 4 5 0 3 13 21 ] R 1 \toR 1 + R 2
again converting this matrix into equation form
x 1 5 x 3 = 17 x 2 4 x 3 = 5 x 3 = 6
Back substituting value from
x 2 = 19 x 3 = 13

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