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Home  >>  CBSE XII  >>  Math  >>  Matrices
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Let $ A\;=\begin{bmatrix}2 & 4\\3 & 2\end{bmatrix}, B\;=\begin{bmatrix}1 & 3\\-2 & 5\end{bmatrix}, C\;=\begin{bmatrix}-2 & 5\\3 & 4\end{bmatrix}$. Find $ (v)\;BA\qquad$

Note: This is the 5th part of a  5 part question, which is split as 5 separate questions here.
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Toolbox:
  • Multiplication of two matrices is defined only if the number of columns of the left matrix is the same as the number of rows of the right matrix.
  • If A is an m-by-n matrix and B is an n-by-p matrix, then their matrix product AB is the m-by-p matrix whose entries are given by dot product of the corresponding row of A and the corresponding column of B:
  • $\begin{bmatrix}AB\end{bmatrix}_{i,j} = A_{i,1}B_{1,j} + A_{i,2}B_{2,j} + A_{i,3}B_{3,j} ... A_{i,n}B_{n,j}$
Given $A\;=\begin{bmatrix}2 & 4\\3 & 2\end{bmatrix}$ and $ B\;=\begin{bmatrix}1 & 3\\-2 & 5\end{bmatrix}$,
$BA_{1,1}$ = 1x2 + 3x3 = 11
$BA_{1,2}$ = 1x4 + 3x2 = 10
$BA_{2,1}$ = (-2)x2 + 5x3 = 11
$BA_{2,2}$ = (-2)x4+5x(-2) = 2
$\begin{bmatrix}BA\end{bmatrix} = \begin{bmatrix}11&10 \\ 11&2\end{bmatrix}$.
answered Feb 27, 2013 by balaji.thirumalai
 

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