Determinants Mastery

Perform the matrix operation: A = [[2, 3], [4, 5]] and B = [[1, 0], [2, 3]]. Find the determinant of A + B.

• 6

• 7

• 3

• 10

Expand the determinant of the matrix C = [[3, 1, 4], [1, 5, 9], [2, 6, 5]] using minors along the first row.

• -48

• -36

• 7

• 15

State one property of determinants that states det(A) = det(A^T), where A is a square matrix.

• Property of the inverse of a matrix

• Property of the trace of a matrix

• Property of the determinant of a sum of matrices

• Property of the transpose of a matrix

Calculate the determinant of the matrix D = [[-2, 1, 3], [4, 0, -1], [2, 3, 5]].

• -56

• 12

• 56

• 0

Explain one application of determinants in real-life scenarios.

• Determining the boiling point of water

• Predicting stock market trends

• Calculating the area of a circle

• Solving systems of linear equations