Matrix Operations and Inverse

Find the determinant of matrix A.

• 10

• not possible

• 14

• -14

Matrix Operations:
You can multiply a 2X3 matrix by which matrix?

• 2X2

• 2X12

• 3X12

• 2X3

What must be true in order to ADD two matrices?

• They must be square.

• The dimensions must be equal.

• The determinant can't equal 0.

• The column of the 1st must equal the row of the 2nd.

What must be true in order to MULTIPLY two matrices?

• They must be square.

• Their dimensions must be equal.

• The number of columns of the 1st must equal the number of rows of the second.

• The number of rows of the 1st must equal the number of columns of the second.

Evaluate the determinant of the matrix.

• -21

• 0

• 9

• 12

Identify

• singular matrix

• partial fraction

• coeffecient matrix

• inverse matrix

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  

Add

• 11    8
  -4     2

• 3     2
  -6    -6

• -3    2
  -4    -6

• 10    8
  -6    2

Find the product.

• undefined

• -3   16
  17   12
  8   -10

• 3   12 
  -15  -8
  -1   -3

Which matrix is an identity matrix

• A

• B

• C

• D