EQUALITY OF MATRICES

Problem 1 :

Write the matrix equation 2 -3 14 · rs = 4-2 as a system of linear equations and solve it.

Solution

Problem 2 :

Solve each matrix equation or system of equations by using inverse matrices.

8 -1 23 · ab = 16-9

Solution

Problem 3 :

Solve each equation.

2y - xx = 34y - 1

Solution

Problem 4 :

7xx + y = 5 + 2y11

Solution

Problem 5 :

2x y + 1 13-2 = -16 -7 13z - 8

Solution

Problem 6 :

Solve for x if det 2 x 5-3 = 24

Solution

Problem 7 :

Solve det 4x-2-x-31-623 = -3 for x.

Solution

Problem 8 :

x2 + 1 5 - y x + y y - 4 = 5 x 53

Solution

Problem 9 :

3x - 5 x + y 12 9z = 10 8 123x + y

Solution

Answer Key

1)  the values of r and s is -8/11 and 10/11.

2)  the values of a and b is 1.5 and -4.

3)  the values of x and y is -1 and -5.

4)  the values of x and y is 3 and 8.

5)  the values of x, y and z is -8, -8 and 6. 

6)  x = -6

7)  the value of x is -1 and 5/3.

8)  the values of x and y is ±2 and 3 and 7.

9)  the values of x, y and z is 5, 3 and 2.

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