If , find AB.

Engineering

Mathematics

Algebra of Matrices

Multiplication of Matrices

Question

If $A = [\begin{array}{cc} 1 & - 1 \\ 2 & - 1 \end{array}], B = [\begin{array}{cc} 2 & 1 \\ 1 & - 1 \end{array}]$ , find AB.

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

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

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

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