Engineering Board Exam Reviewer · Matrix Inverse and Cofactors · medium
Find the inverse of A= bmatrix5&2\4&3 bmatrix.
- 17 bmatrix3&-2\-4&5 bmatrix
- bmatrix3&-2\-4&5 bmatrix
- 17 bmatrix5&-2\-4&3 bmatrix
- 17 bmatrix3&2\4&5 bmatrix
Answer
A. 17 bmatrix3&-2\-4&5 bmatrix
Solution
A=5(3)-2(4)=7. Swap the diagonal entries and negate the off-diagonal entries: A-1= 17 bmatrix3&-2\-4&5 bmatrix.
More Matrix Inverse and Cofactors questions
- Find the inverse of A= bmatrix2&1\5&3 bmatrix.
- Find the inverse of A= bmatrix4&7\2&6 bmatrix.
- Find the cofactor C12 of the matrix bmatrix1&2&3\4&5&6\7&8&10 bmatrix.
- For the matrix A= bmatrix3&2\1&4 bmatrix, find the cofactor matrix.
- For A= bmatrix2&1\5&3 bmatrix (with (A)=1), what should A· A-1 equal?
- A 2×2 matrix has determinant 0. Does it have an inverse?
- Find the sum of all entries of A-1 if A= bmatrix2&1&0\1&2&1\0&1&2 bmatrix.
- Find the (1,2) entry of A-1 if A= bmatrix1&2&1\0&1&3\2&1&0 bmatrix.
- Find the cofactor C23 of A= bmatrix2&1&3\0&4&-1\5&2&6 bmatrix.