# Solution - Elementary Operation (Transformation) of a Matrix

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#### Question

Express the following equations in the matrix form and solve them by method of reduction :

2x- y + z = 1, x + 2y + 3z = 8, 3x + y - 4z =1

#### Solution

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The sum of three numbers is 9. If we multiply third number by 3 and add to the second number, we get 16. By adding the first and the third number and then subtracting twice the second number from this sum, we get 6. Use this information and find the system of linear equations. Hence, find the three numbers using matrices.

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Find the inverse of the matrix,  A=[[1,3,3],[1,4,3],[1,3,4]]

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2x-y + z=1,  x + 2y +3z = 8, 3x + y-4z=1.

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Solution for concept: Elementary Operation (Transformation) of a Matrix. For the courses 12th HSC Arts, 12th HSC Science (Computer Science), 12th HSC Science (Electronics), 12th HSC Science (General)
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