Inverse matrices and matrix equations
7:30
Khan AcademySal Khan
Inverse matrices and matrix equations
In other videos, we've seen how matrices can represent systems of equations, and we've also seen how matrices whose determinant is zero don't have an inverse. In this video, we connect this two understanding, and by doing that way we understand how we can solve systems of equations with matrices.
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SOLVED:Solve the given systems of equations by using the inverse of the coefficient matrix. Use a calculator to perform the necessary matrix operations and display the results and the check. See Example 5. 2 p q 5 r s=5 p q-3 r-4 s=-1 3 p 6 q-2 r s=8 2 p 2 q 2 r-3 s=2
SOLVED:Solve the given systems of equations by using the inverse of the coefficient matrix. Use a calculator to perform the necessary matrix operations and display the results and the check. See Example 5. 2 p q 5 r s=5 p q-3 r-4 s=-1 3 p 6 q-2 r s=8 2 p 2 q 2 r-3 s=2
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SOLVED:Solve the given systems of equations by using the inverse of the coefficient matrix. Use a calculator to perform the necessary matrix operations and display the results and the check. See Example 5. 2 p q 5 r s=5 p q-3 r-4 s=-1 3 p 6 q-2 r s=8 2 p 2 q 2 r-3 s=2
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