The inverse of matrix N = ∣∣∣2314∣∣∣ | 2 3 1 4 |... | JAMB UTME - Mathematics - 2011

Question 1 Report

The inverse of matrix N = $| \begin{matrix} 2 & 3 \\ 1 & 4 \end{matrix} |$ is

\frac{1}{5}

| \begin{matrix} 2 & 1 \\ 3 & 4 \end{matrix} |

\frac{1}{5}

| \begin{matrix} 4 & - 3 \\ - 1 & 2 \end{matrix} |

| \begin{matrix} 4 & - 3 \\ - 1 & 2 \end{matrix} |

\frac{1}{5}

| \begin{matrix} 2 & - 1 \\ - 3 & 4 \end{matrix} |

\frac{1}{5}

| \begin{matrix} 4 & 3 \\ 1 & 2 \end{matrix} |

Answer Details

N = [2 3]
N-1 = $\frac{a d j N}{| N |}$
adj N = $| \begin{matrix} 4 & - 3 \\ - 1 & 2 \end{matrix} |$
|N| = (2 x4) - (1 x 3)
= 8 - 3
=5
N-1 = $\frac{1}{5}$ $| \begin{matrix} 4 & - 3 \\ - 1 & 2 \end{matrix} |$

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The inverse of matrix N = ∣∣∣2314∣∣∣ | 2 3 1 4 | is

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