If , find the value of x and y.

Engineering

Mathematics

Multiplication of Matrices

Symmetric and Skew Symmetric Matrices

Question

If $x [\begin{array}{c} 2 \\ 3 \end{array}] + y [\begin{array}{c} - 1 \\ 1 \end{array}] = [\begin{array}{c} 10 \\ 5 \end{array}]$ , find the value of x and y.

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

Given,

x [\begin{array}{c} 2 \\ 3 \end{array}] + y [\begin{array}{c} - 1 \\ 1 \end{array}] = [\begin{array}{c} 10 \\ 5 \end{array}]

From this matrix equation we get,

2x – y = 10 .....(1) and 3x + y = 5 .....(2).

Now adding (1) and (2) we get,

5x = 15

or, x = 3.

Now putting this in (1) we get, y = – 4.

Please subscribe our Youtube channel to unlock this solution.