Final Exam Matrices

Match each matrix to its correct dimension

• 3 x 1

• 
• 1 x 3

• 
• 4 x 2

• 
• 2 x 4

• 
• 2 x 3

• 

Find the determinant of the following matrix

• 10

• 11

• 12

• 14

can this problem be solved?

• Undefined

• defined

In matrix A, match the element to its value

• 5

• r₂₃

• 4

• r₁₂

• 2

• r₂₁

• 3

• r₃₂

• 7

• r₁₃

What must be true in order to "add" two matrices?

• The dimensions must be equal

• The determinant can't equal 0

• They must be square

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

Find the inverse of the following matrix

• 
• 
• 
• 

Matrices can be multiplied if and only if ...

• the # of columns in the first matrix is equal to the # of rows in the second matrix

• the # of columns in the first matrix is equal to the # of columns in the second matrix

• the # of rows in the first matrix is equal to the # of columns in the second matrix

• the # of rows in the first matrix is equal to the # of rows in the second matrix

• 
• 
• 
• 

If the matrix does not have an inverse, what statement is true?

• the discriminant of the matrix is not zero

• the discriminant of the matrix is zero

• the determinant of the matrix is not zero

• the determinant of the matrix is zero