For a square matrix having four terms, the determinant can be calculated as follows:
IAI = Product of the first and third terms - Product of the second and fourth terms.
(IAI is used to denote the determinant value of any matrix)
Another common question that comes from Matrix and Determinants, is finding the inverse of a matrix. A-1 is used to denote the inverse of a Matrix. If the original matrix is multiplied by the inverse of the matrix, then the resultant matrix is an identity matrix. The diagonal elements of an Identity Matrix, are 1’s whereas the rest of the elements are all zeros. JEE Advanced Matrix and Determinant Important Questions and their solutions are provided in the below PDF, that can be downloaded for free.
A x A-1 = I
Some of the common operations on matrices are addition, subtraction, multiplication, and division. Among all these, the multiplication of matrices can be a little tricky when they are not nxn matrices. If the matrices are having different dimensions, then the resulting matrix has the following dimensions:
The no. of rows of the resultant matrix = the number of rows of the first matrix
The no. of columns of the resultant matrix = the number of columns of the second matrix.
Share your contact information
Vedantu academic counsellor will be calling you shortly for your Online Counselling session.