If and I is unit matrix of order 2 × 2. Find : B2

Engineering

Mathematics

Multiplication of Matrices

Symmetric and Skew Symmetric Matrices

Question

If $A = [\begin{array}{cc} 0 & 2 \\ 5 & - 2 \end{array}], B = [\begin{array}{cc} 1 & - 1 \\ 3 & 2 \end{array}]$ and I is unit matrix of order 2 × 2. Find : B²

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

$B^{2} = [\begin{array}{cc} 1 & - 1 \\ 3 & 2 \end{array}] [\begin{array}{cc} 1 & - 1 \\ 3 & 2 \end{array}]$

= [\begin{array}{cc} 1 - 3 & - 1 - 2 \\ 3 + 6 & - 3 + 4 \end{array}]

= [\begin{array}{cc} - 2 & - 3 \\ 9 & 1 \end{array}]

Please subscribe our Youtube channel to unlock this solution.