Home
Class 12
MATHS
Find X, if Y=[[3, 2],[ 1, 4]]and 2X+Y=[[...

Find X, if `Y=[[3, 2],[ 1, 4]]`and `2X+Y=[[1 ,0],[-3, 2]]`

Text Solution

AI Generated Solution

To find the matrix \( X \) given that \( Y = \begin{bmatrix} 3 & 2 \\ 1 & 4 \end{bmatrix} \) and \( 2X + Y = \begin{bmatrix} 1 & 0 \\ -3 & 2 \end{bmatrix} \), we can follow these steps: ### Step 1: Write down the equation We start with the equation: \[ 2X + Y = \begin{bmatrix} 1 & 0 \\ -3 & 2 \end{bmatrix} \] Substituting the value of \( Y \): ...
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find X if Y=[[3,21,4]] and 2X+Y=[[1,0-3,2]]

2X+3Y=[[2,3],[4,0]] and 3X+2Y=[[2,-2],[-1,5]]

Find x and y, if 2[[1, 3],[ 0,x]]+[[y,0], [1, 2]]=[[5, 6],[ 1, 8]]

Find x and y if 2[[2,3],[0,x]]+[[y,0],[1,3]]=[[5,6],[1,8]]

Find X and Y, if (i) X+Y=[7 0 2 5] and X-Y=[3 0 0 3] (ii) 2X+3Y=[2 3 4 0] and 3X+2Y=[2-2-1 5]

Find x and y , if 2[[1,3],[0,x]]+[[y,0],[1,2]]=[[5,6],[1,8]]

Find X and Y ,if 2X + 3Y = [(2,3),(4,0)] and 3X+2Y=[(2,-2),(-1,5)]

If 2X+3Y=[[2,3],[4,0]] and 3X+2Y=[[-2, 2],[1,-5]] find X and Y.

Find matrices 'X' and 'Y' if : 2X+3Y=[(2,3),(4,0)] and 3X+2Y=[(2,-2),(-1,5)]

Given A=[[1,-1, 0], [2, 3, 4], [0, 1, 2]], B= [[2,2,-4],[-4,2,-4],[2,-1,5]] find AB and use this to solve the system of equations: y+2x=7,x-y=3,2x+3y+4z=17