Home
Class 12
MATHS
Find x and y, if 2[[1, 3],[ 0,x]]+[[y,0]...

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

Text Solution

AI Generated Solution

To solve the equation \( 2\begin{bmatrix} 1 & 3 \\ 0 & x \end{bmatrix} + \begin{bmatrix} y & 0 \\ 1 & 2 \end{bmatrix} = \begin{bmatrix} 5 & 6 \\ 1 & 8 \end{bmatrix} \), we will follow these steps: ### Step 1: Multiply the first matrix by 2 We start by multiplying the first matrix by 2: \[ 2\begin{bmatrix} 1 & 3 \\ 0 & x \end{bmatrix} = \begin{bmatrix} 2 \cdot 1 & 2 \cdot 3 \\ 2 \cdot 0 & 2 \cdot x \end{bmatrix} = \begin{bmatrix} 2 & 6 \\ 0 & 2x \end{bmatrix} \] ...
Promotional Banner

Similar Questions

Explore conceptually related problems

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

Find the values of x and y satisfying the equation: 2[[1,3],[0,x]]+[[y,0],[1,2]]=[[5,6],[1,8]]

Find x+y and x-y if x=[[5,2],[0,9]] and y=[[3,6],[0,-1]] .

Find the values of x and y, if 2[{:(1,3),(0,x):}]+[{:(y,0),(1,2) :}]=[{:(5,6),(1,8):}].

Find X and Y, if X+Y=[[5,2][0,9]] and X-Y=[[3,6][0,-1]]

Find X and Y if, X+2Y = [[4,5],[3,8]] and 2X-Y = [[5,-2],[-1,1]]

If 2[[3,4],[5,x]]+[[1,y],[0,1]]=[[7,0],[10,6]] then find (x-y)

If [[x, y^(3)], [2, 0]]=[[1, 8], [2, 0]] , then [[x, y], [2, 0]]^(-1)=

Find x , y , z , t if 2[(x, z ),(y ,t)]+3[(1,-1),( 0, 2)]=3[(3, 5),( 4 ,6)] .

If 2[[3,4] , [5,x]] + [[1,y] , [0,1]] = [[7,0] , [10,5]] then find the value of (x-y)