Easy Pre-Calculus Step-by-Step by Carolyn Wheater

Author:Carolyn Wheater
Language: eng
Format: epub
Publisher: McGraw-Hill Education
Published: 2019-01-02T16:00:00+00:00

Exercise 10.3

Solve each system.

1. 2x + y = 4

4x-3y = 13

2. 2x + 3y = 4

3x-8y = -9

3. 2x + 3y = -8

x + 2y = -3

4. 3x − 7y = 30

5x + y = 12

5. 2x − y = 5

−x + y = -3

6. 5x − 2y = 29

3x + 4y = 33

7. -3x + 4y = −6

5x – 3z = -22

3y + 2z = -1

8. x + 2y − 3z = 5

x – y + 2z = -3

x+y − z = 2

9. x + 2y + 3z = 17

−x − 5y + 4z = 2

2x + 7y − 5z = −1

10.

Step 4. Find Inverse Matrices

In arithmetic, you learned that every nonzero number has a reciprocal and that the product of the number and its reciprocal is 1. The reciprocal of , for example, is , and the product .

What is commonly called the reciprocal is formally called the multiplicative inverse. Two numbers are multiplicative inverses if their product is 1, the identity element for multiplication.

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