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14.2 Homework Problems: Matrices

1. Add or subtract the following matrices

a.  [latex]\left[\begin{matrix}3&-6&2\\7&7&6\\\end{matrix}\right]-\left[\begin{matrix}2&1&-3\\4&5&5\\\end{matrix}\right][/latex]

b. [latex]\left[\begin{matrix}-2&0\\5&7\\5&4\\\end{matrix}\ \right]+\left[\begin{matrix}-2&3\\7&7\\-7&6\\\end{matrix}\ \right][/latex]

 

2. If A = [latex]\left[\begin{matrix}-5&5&-4\\-2&2&2\\\end{matrix}\right][/latex] and [latex]B=\ \left[\begin{matrix}-3&-6\\2&3\\6&1\\\end{matrix}\right]\ \ \ find\ AB[/latex]

3. If A = [latex]\left[\begin{matrix}4x&xy\\\end{matrix}\right][/latex] and B = [latex]\left[\begin{matrix}x^2&0&6xy\\-6x&0&-3\\\end{matrix}\right][/latex] find AB

4. If A = [latex]\left[\begin{matrix}3&1&6x\\-4y&0&-1\\\end{matrix}\right][/latex] find (3 · A)

 

5. Put the following systems of equations into matrices but do not solve

a.      5x + 2y – 2z = -1

2x – z = 7

-4x + y = -21

b.      10m – 4u + 8w = -2

6m = 5u – 4w + 6

17u – 4 = w

 

 

6. Solve the systems of equations using the Matrix Method

a.      x + 2y = 3

2x – y = -4

b.      7x + 2y = 24

8x + 2y = 30

c.      -2x + 4y + z = -3

x – 3y + 2z = 11

x – 2y + 3z = 12

d.      x – y + 5z = -6

x + 2z = 0

6x + y + 3z = 0

e.      3x + 4y = 11

x + y = -2

2y + z = -4

 

Unit 14.2 Homework Printable Copy

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