matriks ya

Calculate the inverse of the matrix: [[2, 3], [1, 4]].

• [[0, 0], [0, 0]]

• [[2, -3], [-1, 4]]

• [[0.8, -0.6], [-0.2, 0.4]]

• [[1, 2], [3, 4]]

Determine the determinant of the matrix: [[5, 2], [3, 7]].

• 25

• 40

• 29

• 35

If A is a 2x2 matrix with A = [[1, 2], [3, 4]], what is the property of A and its inverse?

• A is invertible and A * A^(-1) = I.

• A is singular and cannot be inverted.

• A is a diagonal matrix.

• A * A^(-1) = A.

Find the inverse of the matrix: [[0, 1], [1, 0]].

• [[0, 1], [1, 0]]

• [[1, 1], [1, 1]]

• [[0, 0], [0, 0]]

• [[1, 0], [0, 1]]

What is the determinant of the matrix: [[1, 1], [1, 1]]?

• 1

• 0

• 2

• -1

Given the matrix B = [[2, 5], [1, 3]], calculate its inverse.

• [[3, -5], [-1, 2]]

• [[0, 1], [1, 0]]

• [[2, 3], [5, 1]]

• [[1, 2], [3, 4]]

Explain the relationship between a matrix and its inverse regarding multiplication.

• The product of a matrix and its inverse is a zero matrix.

• The inverse of a matrix is always equal to the matrix itself.

• The product of a matrix and its inverse is the identity matrix.

• A matrix and its inverse cannot be multiplied together.

Calculate the determinant of the matrix: [[4, 2], [3, 1]].

• 0

• -2

• -4

• 6

If C is a matrix such that C * C^(-1) = I, what does I represent?

• A transpose of C.

• A diagonal matrix.

• The identity matrix.

• The zero matrix.

Find the inverse of the matrix: [[3, 2], [1, 4]].

• [[0.4, -0.2], [-0.1, 0.3]]

• [[0, 1], [1, 0]]

• [[2, 3], [4, 1]]

• [[1, 2], [3, 4]]