DeterminantHard

Question

If A is a square matrix of order 3, then the true statement is (where I is unit matrix).

Options

A.det (- A) = - det A
B.det A = 0
C.det (A + I) = 1 + det A
D.det (2A) = 2 det A

Solution

det (-A) = (-1)n det (A) where n is order of square matrix.

Create a free account to view solution

View Solution Free
Topic: Determinant·Practice all Determinant questions

More Determinant Questions

The value of is -...If |z1| = |z2| = 1, then is equal to...The values λ and m for which the system of equations x + y + z = 6, x + 2y + 3z = 10 and x + 2y + λz = μ ...Let M be a 3 × 3 non-singular matrix with det(M) = α. If M-1 adj(adj M) = kI, then the value of ′k&#8242...Let A = where a,b, c, d, e ∈ {0, 1}then number of such matrix A for which system of equation AX = 0 have unique so...