QUIZ : Matrices for Class 12

If A = [[3, 2], [1, 4]] and B = [[1, 0], [2, 3]], what is A - B?

• [[2, 2], [1, 4]]

• [[2, 2], [-1, 1]]

• [[1, 2], [3, 1]]

• [[3, 2], [1, 7]]

Calculate the product of the matrices A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]].

• [[15, 18], [33, 38]]

• [[20, 24], [44, 48]]

• [[10, 12], [30, 36]]

• [[19, 22], [43, 50]]

If A = [[1, 2], [3, 4]], what is the determinant of A?

• 2

• 0

• -4

• -2

Find the determinant of the matrix B = [[2, 3], [1, 4]].

• 5

• 8

• 7

• 6

What is the inverse of the matrix A = [[4, 7], [2, 6]]?

• [[1, 0], [0, 1]]

• [[0.6, -0.7], [-0.2, 0.4]]

• [[2, 3], [1, 2]]

• [[4, 5], [6, 7]]

What is the result of subtracting the matrix B = [[5, 6], [7, 8]] from the matrix A = [[9, 10], [11, 12]]?

• [[4, 4], [4, 4]]

• [[9, 10], [11, 12]]

• [[14, 16], [18, 20]]

• [[3, 4], [4, 4]]

If A = [[1, 2], [3, 4]], what is the result of A multiplied by its inverse?

• [[1, 0], [0, 1]]

• [[0, 1], [1, 0]]

• [[1, 1], [1, 1]]

• [[2, 0], [0, 2]]

State one property of determinants related to matrix addition.

• The determinant of the sum of two matrices is equal to the product of their determinants.

• The determinant of the sum of two matrices equals the sum of their determinants.

• The determinant of the sum of two matrices is not equal to the sum of their determinants.

• The determinant of a matrix is always zero when added to another matrix.

If A is a 2x2 matrix with a determinant of 0, what can be said about the invertibility of A?

• A is not invertible.

• A is always invertible.

• A can be inverted if it has non-zero elements.

• A has a determinant of 1.

Calculate the inverse of the matrix C = [[1, 2, 3], [0, 1, 4], [5, 6, 0]].

• [[-24, 18, 6], [20, -15, -4], [6, -5, 1]]

• [[1, 0, 0], [0, 1, 0], [0, 0, 1]]

• [[0, 1, 2], [3, 4, 5], [6, 7, 8]]

• [[1, 2, 3], [0, 1, 4], [5, 6, 0]]