[PDF] [PDF] Year 12 Matrices Worksheet 1 - itutecom

[PDF] Year 12 Matrices Worksheet 1 - itutecom

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= Year 12 fm = Matrices (Sim. linear equations) = Worksheet 1

1. Use inverse matrix method to solve the following system of

simultaneous linear equations. 1373
yxyx

2. Use inverse matrix method to solve the following system of

simultaneous linear equations. 21
43
521
32
yxxy

3. Use CAS/calculator to solve for x and y.

-9.71.5

7.29.33.173.0

yx

4. Use CAS/calculator to solve for a, p and t.

2152103

4 3 54
6521
32
4321
72
51tpa

5. Use CAS/calculator to solve the following system of

simultaneous linear equations.

3455.1222.0132

yzxwxyzywzx

6. A system of simultaneous linear equations can be

represented by the following matrix equation. -41 32
yx baba. The solutions to the equations are 2=x and

1-=y. Find the values of a and b, and state the

simultaneous equations.

7. Write the system of simultaneous equations in matrix form.

57352753

byaxbyax

Find a and b when 3

==yx.

8. Consider the simultaneous equations in Q7.

57352753

byaxbyax

Use matrix method to find a and b when

ax= and by=.

9. Write the system of simultaneous equations in matrix form.

14339221152

rzqypxrzqypxrzqypx

Find p, q and r when

1=x, 1-=y and 2=z.

Numerical, algebraic and worded answers.

1. x = 1, y = -2

2. x = -10/9, y = 34/27

3. x = 3.4143, y = 2.0058

4. a = 0.9915, p = -0.4676, t = -0.0638

5. w = 2.5171, x = -0.2051, y = -0.6111, z = -0.4701

6. a = ½, b = 1, x + y = 1, ½ x - 3y = 4

7. 5727
3553
yx baba , a = 2, b = 3

8. a = ±⎷6, b = ±3

9. 14 911

332252

z yx rqprqprqp , p = -1, q = 3, r =1quotesdbs_dbs14.pdfusesText_20