Cramer's rule for a system Ax=b with square A can be applied when:

Exercise · ZW-CRAMERS-RULE-002 · ★☆☆ Basic

Cramer's rule for a system \(A\mathbf{x}=\mathbf{b}\) with square \(A\) can be applied when:

Choose one option.

Show answer

The formula \(x_i=\det A_i/\det A\) divides by \(\det A\), so it requires \(\det A\neq0\), that is, \(A\) invertible.

Cramer's rule gives the unique solution of a square system, whose coefficient matrix \(A\) has nonzero determinant, as a quotient of determinants.

\[x_i=\frac{\det A_i}{\det A}\]