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

🧐 Not the exact question you are looking for?Go ask a question

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 square matrix of order 3 such that transpose of inverse of A is A itself, then |adj (adj A)| is equal to92741

Suppose P and Q are two different matrices of order 3 × n and n × p , thenthe order of the matrix P × Q is?

For any non-singular matrix A, A^-1 =Question 15Answera.None of theseb.Adj A/ |A|c.1/ Adj A/ |A|d.|A| adj A

For a square matrix A, Which of the following is true?A. a) |A| = |AT|B. |A-1| = |A|C. |A-1| = |1A |D. Non

If a matrix A is 3x2, what is the order of its transpose A^T?a.2x3b.3x3c.3x2d.2x2

1/1

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.