Find the inverse of the matrix .
, expanding the determinant along the first
Now the cofactors of the elements of the first row of
i.e., are –1, 8, –5 respectively.
The cofactors of the elements of the second row of
i.e., are 1, –6 3 respectively.
The cofactors of the elements of the their row of
i.e., are –1, 2, –1 respectively.
Therefore the Adj. A = the transpose of the matrix B where
then the number of solutions of the system of equations
For what value of k do the following homogeneous system of equations possess a non-trivial solution ?
Find value of for which the set of equations
Find the product of the matrices
If A and B are any 2 × 2 matrices, then det (A + B) = 0 implies