EP1.4, 1.5, 2.2/ H2.2, 2.3, 3.1 Solve the following problems, showing any necess

Question

EP1.4, 1.5, 2.2/ H2.2, 2.3, 3.1 Solve the following problems, showing any necessary work. This includes row operations. 1. [I point] Below is a matrix equation. Find a system of equations which, when solve solutions to the matrix equation. You do not need to simplify or solve these equations. should be a list of equations, like r2-yz--5, xyz = 3 + 2, etc. a 31 [o -21 20+11 y -1 1 2 2. [1 point] Find the inverse of the matrix 0 1 1 using Gauss-Jordan Elimination. 1 1 3 3. [1 point] Solve the system of linear equations -32x1-9m2-7x3-4x4 = 2 28x1-7x2-623-4x4 = 0 F3 F4 F5 F6 F7 F8 F9

Explanation / Answer

(2)

Your matrix

Determinant is not zero, therefore inverse matrix exists

Very detailed solution  

Write the augmented matrix

Find the pivot in the 1st column in the 1st row (inversing the sign in the whole row)

Eliminate the 1st column

Find the pivot in the 2nd column in the 2nd row

Eliminate the 2nd column

Find the pivot in the 3rd column in the 3rd row

Eliminate the 3rd column

There is the inverse matrix on the right

Matrix inverse (answer)

A1 A2 A3 1 -1 1 2 2 0 1 1 3 -1 1 3

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