Matrix Quiz

What is the result of multiplying a 2x3 matrix by a 3x2 matrix?

• 2x2

• 3x3x2

• 3x3

• 2x3

What is the determinant of a 2x2 matrix [a b; c d]?

• ab - cd

• ad - bc

• ac - bd

• bd - ac

Which of the following operations is NOT possible with matrices? a) Addition b) Subtraction c) Division d) Multiplication

• b

• c

• a

• d

What is the result of adding two matrices with dimensions 2x2 and 2x3?

• Not possible

• 3x3

• 2x2

• 4x4

What is the determinant of a 3x3 matrix [a b c; d e f; g h i]?

• (a + b + c) + (d + e + f) + (g + h + i)

• (a + b + c) - (d + e + f) + (g + h + i)

• (aei + bfg + cdh) + (ceg + afh + bdi)

• (aei + bfg + cdh) - (ceg + afh + bdi)

Which of the following is the identity matrix of dimension 3x3? a) [1 0 0; 0 1 0; 0 0 1] b) [1 1 1; 1 1 1; 1 1 1] c) [0 0 0; 0 0 0; 0 0 0] d) [1 0 0; 0 0 0; 0 0 1]

• a

• d

• c

• b

What is the result of subtracting two matrices with dimensions 3x2 and 3x2?

• The result is a matrix with dimensions 3x2.

• The result is a vector with dimensions 3x2.

• The result is a scalar value.

• The result is a matrix with dimensions 2x3.

Which of the following is NOT a valid matrix operation? a) Transpose b) Scalar multiplication c) Cross product d) Matrix multiplication

• d

• c

• a

• b

What is the result of multiplying a 3x2 matrix by a 2x4 matrix?

• 3x3

• 3x4

• 4x4

• 2x2