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Technique

Solving AX = B

AX=B    X=A1B(A0)AX = B \;\Rightarrow\; X = A^{-1}B \quad (|A| \neq 0)
XX
the column of unknowns
BB
the column of constants

A linear system written in matrix form is solved by multiplying on the left by the inverse of the coefficient matrix.

15
questions use it
11
of them past-year
2017–2026
years it has appeared
0%
rated HARD
3
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Matrices & Determinants notesOpen all 15 in the paper builder

Used alongside

How often each of these appears in the same solution as this one.

15 questions whose solution uses this

Every one was read individually — a question is here because its solution invokes this, not because the stem mentions it.

Every identity this chapter tests, with its own question set.

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