Finding Determinants of Matrices

What is the determinant of a triangular matrix?

• The difference of its diagonal elements

• The sum of its diagonal elements

• The quotient of its diagonal elements

• The product of its diagonal elements

What is the determinant of the product of two matrices?

• The sum of the determinants of the two matrices

• The quotient of the determinants of the two matrices

• The product of the determinants of the two matrices

• The difference of the determinants of the two matrices

What is the determinant of a 3x3 matrix?

• ad - bc

• a + b + c + d + e + f + g + h + i

• aei + bfg + cdh - ceg - bdi - afh

• a - b - c - d - e - f - g - h - i

What is the determinant of a matrix multiplied by a scalar?

• The determinant of the matrix added to the scalar

• The determinant of the matrix subtracted by the scalar

• The determinant of the matrix divided by the scalar

• The determinant of the matrix multiplied by the scalar

• 2

• 6

• 0

• -2

Solve for the determinant of the following matrix:  
⌈12  −3⌉
⌊−6  15⌋
*detA= ad-bc

• 198

• 162

• -333

• -9

What is the determinant of this matrix?

• 5

• -5

• 0

• -12

Let A be square matrix of order 3 X 3. Write the value of|2𝐴|, where |𝐴| = 4

• 8

• 16

• 24

• 32

What is the determinant of a zero matrix?

• The determinant is not defined for a zero matrix

• 0

• 1

• -1

What is the determinant of the identity matrix?

• 0

• -1

• The determinant is not defined for the identity matrix

• 1