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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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Concepts

A $2 \times 2$ matrix $A$ has determinant $\det(A) = 0$ .

What can you conclude about the system $Ax = b$ ?

The system has no solution.

The system has exactly one solution.

$A$ has no inverse, so the matrix method $x = A^{-1}b$ cannot be
used. The system may have no solution or infinitely many solutions.

The system has infinitely many solutions.