sing the properties of determinants, show thata + b a aa a + b aa a a + b= b2(3a + b)

Using the properties of determinants, show that(a)a3 a2 1b3 b2 1c3 c2 1

Properties of Determinant of Matrix

The determinant of an n×n matrix A is the product of the diagonal entries in A.A. TrueB. False

What is the determinant of a 2x2 matrix A = [[a, b], [c, d]]

Suppose that A and B are n×n matrices. Check the true statements below: A. If det(A) is zero, then two rows or two columns are the same, or a row or a column is zero.B. det(AT)=(−1)det(A)C. If two row interchanges are made in sucession, then the determinant of the new matrix is equal to the determinant of the original matrix.D. The determinant of A is the product of the diagonal entries in A