Which of the following is correct if A and B are two square matrices?

If A and B are two square matrices of same order, then (A+B)(A−B)=A2−B2.

What are the conditions to be satisfied by two matrices A and B to be equal?

Two matrices A = [aij] and B = [bij] are said to be equal if and only if A and B have the same order, i.e., A and B have the same number of rows and the same number of columns, and corresponding elements of A and B are equal, i.e., aij = bij for all i and j.

Is A and B are square matrices of same order?

Therefore B = I. If A and B are two square matrices of the same order, then AB=BA.

Which of the following option is correct when multiplication of two matrices A and B is possible?

Which of the following option is correct when multiplication of two matrices A and B is possible? Explanation: Multiplication is possible only when number of columns of A is equal to rows of B. And, the matrices having same order do follow this property. 4.

Is the adjoint of a 3 3 matrix A and a 4 then is equal to?

is the adjoint of a 3 x3 matrix A and |A| = 4, then α is equal to. 4. 11.

How do you know if 2 matrices are equal?

Two matrices are equal if all three of the following conditions are met: Each matrix has the same number of rows. Each matrix has the same number of columns. Corresponding elements within each matrix are equal.

Which of the following is true if A and B are square matrices of same order?

Solution: (1) A + B = B + A If A and B are square matrices of equal degree, then A + B = B + A.

Which of the following is always true for the matrices A and B of the same order?

Answer=>A+B=B+A This is true for any matrix, only order must be same.

When the multiplication of two matrix is possible?

Finding the product of two matrices is only possible when the inner dimensions are the same, meaning that the number of columns of the first matrix is equal to the number of rows of the second matrix.