ACT Math
Lesson Plan
Determinants (2x2)
Goals / Objectives
Use the determinant ad - bc of a 2x2 matrix to decide whether the matrix has an inverse and, when it does, construct that inverse
Compute det(A) = ad - bc, including matrices with negative entries, reading |A| as the determinant rather than an absolute value
Explain why a determinant of zero means no inverse exists, and give "no inverse" as the answer in that case
Construct the inverse of an invertible 2x2 matrix by swapping, sign-flipping, and scaling by 1/det(A)
Standards
"N 706. Apply properties of matrices and properties of matrices as a number system" "N 705. Multiply matrices" "A 604. Solve systems of two linear equations"
Academic Vocabulary
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Homework
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