Determinants and Cramer's Rule
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Determinants and Cramer's Rule
6 problems
1PRACTICE PROBLEM
Find the value of the given determinant using the determinant theorems.
2PRACTICE PROBLEM
For the given matrices, work out the products AB and BA to show if B is the inverse (multiplicative) of A.
3PRACTICE PROBLEM
For the given matrices, work out the products AB and BA to show if B is the inverse (multiplicative) of A.
4PRACTICE PROBLEM
Find the multiplicative inverse of the matrix shown by using the formula for A-1. Also, verify that AA-1 = I2 and A-1A = I2, where I2 is a multiplicative identity matrix of order 2.
5PRACTICE PROBLEM
Evaluate the following determinant through expansion by minors:
6PRACTICE PROBLEM
Solve the following system of equations using Cramer's Rule:
