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Finding Inverses of matrices.
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8.3 The Inverse of a Square MatrixObjective: Find and use the inverse matrix to solve systems of linear equations.
Standard: Linear Algebra 9.0
What's a MULTIPLICATIVE INVERSE??
To be an inverse matrix:
Ex. 1) Show that B is the Inverse of A.
Do all matrices have an inverse?
Singular:
Nonsingular (aka: ________)
Ex. 2) Find the inverse of A if it exists.
A=
The "Shortcut" for a 2x2 matrixIf… and…
ad – bc ≠ 0
then…
Ex. 2 Revisited) Find the inverse of A if it exists.
Ex. 3) Find the inverse of A if it exists.
A=
Inverse of a 3x3 Matrix
Using Inverses for Systems of Equations
The coefficient matrix…
Ex. 4) Solve the systems using matrices.
Ex. 5) Solve the system using matrices.
Assignment:
#12 p. 608 #4, 6, 11, 15, 17, 20, 25, 27, 53, 60, 63
Quiz #3 (8.2 and 8.3) on Tuesday/Wednesday Feb. 22-23
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