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  • Provide solution for RD Sharma maths class12 Chapter Algebra of Matrices exercise 4.3 question 3 sub question (iv)

Provide solution for RD Sharma maths class12 Chapter Algebra of Matrices exercise 4.3 question 3 sub question (iv)

Answers (1)

[a^2+b^2+c^2+d^2+ac+bd]

Hint: matrix multiplication is only possible, when number of columns of first matrix is equal to the number of rows of second matrix.

Given: \begin{bmatrix} a &b \end{bmatrix}\begin{bmatrix} c\\ d \end{bmatrix}+\begin{bmatrix} a &b& c&d \end{bmatrix}\begin{bmatrix} a\\ b\\ c\\ d \end{bmatrix}

=[a \times c+b \times d]+[a \times a + b \times b +c \times c + d \times d]

=[ac+bd]+[a^2+b^2+c^2+d^2]

=[a^2+b^2+c^2+d^2+ac+bd]

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