Back to Use matrix inverses to solve systems — Problem 1 · Task Set 47

HSA.REI.C.9 Tutor Intake — Matrix Inverses

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Grade 9·8 problems·~13 min·Common Core Math - HS Algebra·standard·hsa-rei-c-9

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Procedures

For $A = \begin{bmatrix}3 & 1\\2 & 1\end{bmatrix}$ , compute $\det(A)$ .

$\det(A) = ad - bc = 3($ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ $) - 1(2) = $ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲

d-entry:

determinant: