Solving in Matrices

Given matrices A & B: 
A is a (4x33) matrix
B is a (33x1) matrix
 What are the dimensions of the product of A times B?

• 4x1

• 4x33

• 33x1

• Matrix does not exist

Evaluate the determinant of the matrix BY HAND.

• -21

• 0

• 9

• 12

When solving a system AX=B using inverse matrices, you use the equation:

• X=A^-1B

• B=X^-1A

• A=X^-1B

• X=B^-1A

Use Cramer's Rule

• A

• B

• Both A and B

• Neither A nor B

These matrices are being multiplied. Determine the dimension/size of the new matrix.

• Can't multiply them

• 4  x  2

• 3  x  3

• 4  x  3

find: B*A. Remember, ORDER MATTERS!

• 47 30

  9 5

• 17 15

  42 35

• 10 25

  7 1

• not possible because rows do not match columns

Find the product of the matrices.

• A

• B

• C

• D

Find the determinant of the matrix BY HAND.

• A

• B

• C

• D

Calculate the determinant. You will need a calculator.

• 0

• -15

• -70

• 10

Determine if the matrix has an inverse, if so find it. It is to your advantage to know how to do this by hand AND by calculator.

• No

• 0 1

  -1 2

• -1 3

  1 -2

• 2 -1

  -1 1