Adv. Alg Unit 1

Write the matrix equation for the system.

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Use the determinant of -7 to find the inverse for the matrix.

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Multiply the inverse by the constant matrix to solve for x.

Find A+B

• 8     10
  8      1 
• 12     25
  7     1
• 10     30
  0     1
• can't add two together because the rows dont match columns

• 2x3

• 3x2

• 3x4

• 4x3

Multiply

• 20     15    -10
  30     -5         0
• -20      15     -10
  30     -5          0
• 1        8       3
  11     4        5
• 20     -15     10
  -30         5        0  

Find B-A

• -4     0
  6     -1
• 1     0
  1     -4
• 4       0
  -6     1
• not possible because rows do not match columns

Find the product of the two matrices.

• undefined
• -3   16
  17   12
  8   -10
• 3   12 
  -15  -8
  -1   -3

Find the value of x and y if they are equal matrices.

• x=2 , y=5

• x=3, y=3

• x=3, y=5

• x=5, y=3

What is the value of element a₂₃?

• 2
• -1
• 6
• 1