If A is any square matrix of order 3 × 3 such that |A| = 3, then the value of|adjA| is
Question
If A is any square matrix of order 3 × 3 such that |A| = 3, then the value of|adjA| is
Solution
The value of |adjA| for a square matrix A of order 3x3 with |A| = 3 is calculated using the formula |adjA| = |A|^(n-1), where n is the order of the matrix.
Here, n = 3 (since it's a 3x3 matrix), so the formula becomes |adjA| = |A|^(3-1) = |A|^2.
Given that |A| = 3, we substitute this into the formula to get |adjA| = 3^2 = 9.
So, the value of |adjA| is 9.
Similar Questions
Let A be a 3 3 matrix such that |adj A| = 64. Then |A| is equal to
Let A be a square matrix of order 3 such that transpose of inverse of A is A itself, then |adj (adj A)| is equal to92741
V is a matrix of order 3 such that |adj V| = 7.Which of these could be |V|
adjoint of a 3 × 3 matrix
If a square matrix A is such that A^2=A, then find |A|.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.