Advertisements
Advertisements
प्रश्न
if `2[[3,4],[5,x]]+[[1,y],[0,1]]=[[7,0],[10,5]]` , find (x−y).
Advertisements
उत्तर
It is given that `2[[3,4],[5,x]]+[[1,y],[0,1]]=[[7,0],[10,5]].`
Let us simplify the left hand side as below:
`[[2xx3,2xx4],[2xx5,2x]]+[[1,y],[0,1]]=[[7,0],[10,5]]`
`[[6,8],[10,2x]]+[[1,y],[0,1]]=[[7,0],[10,5]]`
`[[6+1,8+y],[10,2x+1]]=[[7,0],[10,5]]`
`[[7,8+y],[10,2x+1]]=[[7,0],[10,5]]`
Two matrices are equal if and only if their corresponding entries are equal.
So, equating the corresponding entries, we get:
8+y=0⇒y=−8
and
2x+1=5 ⇒2x=4 ⇒x=2
So, (x − y) = [2 − (−8)] = 2 + 8 = 10
Thus, the value of (x − y) is 10.
APPEARS IN
संबंधित प्रश्न
If `[[x-y,z],[2x-y,w]]=[[-1,4],[0,5]]` find the value of x+y.
Find x, y, a and b if
`[[2x-3y,a-b,3],[1,x+4y,3a+4b]]`=`[[1,-2,3],[1,6,29]]`
`If [[x,3x- y],[2x+z,3y -w ]]=[[3,2],[4,7]]` find x,y,z,w
`If [[x-y,z],[2x-y,w]]=[[-1,4],[0,5]]`Find X,Y,Z,W.
`If [[x + 3 , z + 4 , 2y-7 ],[4x + 6,a-1,0 ],[b-3,3b,z + 2c ]]= [[0,6,3y-2],[2x,-3,2c-2],[2b + 4,-21,0]]`Obtain the values of a, b, c, x, y and z.
`If [[2x +1 5x],[0 y^2 +1]]``= [[x+3 10],[0 26 ]]`, find the value of (x + y).
`If [[xy 4],[z+6 x+y ]]``=[[8 w],[0 6]]`, then find the values of X,Y,Z and W .
For what values of x and y are the following matrices equal?
`A=[[2x+1 2y],[0 y^2 - 5y]]``B=[[x + 3 y^2 +2],[0 -6]]`
Find the values of x and y if
`[[X + 10,Y^2 + 2Y],[0, -4]]`=`[[3x +4,3],[0,y^2-5y]]`
If \[\begin{bmatrix}x + 3 & 4 \\ y - 4 & x + y\end{bmatrix} = \begin{bmatrix}5 & 4 \\ 3 & 9\end{bmatrix}\] , find x and y
Find the value of x from the following: `[[2x - y 5],[ 3 y ]]` = `[[6 5 ],[3 - 2\]]`
Find the value of x, if \[\begin{bmatrix}3x + y & - y \\ 2y - x & 3\end{bmatrix} = \begin{bmatrix}1 & 2 \\ - 5 & 3\end{bmatrix}\]
if \[\begin{bmatrix}2x + y & 3y \\ 0 & 4\end{bmatrix} = \begin{bmatrix}6 & 0 \\ 6 & 4\end{bmatrix}\] , then find x.
If \[A = \begin{bmatrix}1 & 2 \\ 3 & 4\end{bmatrix}\] , find A + AT.
If \[\begin{bmatrix}a + b & 2 \\ 5 & b\end{bmatrix} = \begin{bmatrix}6 & 5 \\ 2 & 2\end{bmatrix}\] , then find a.
If A = `[[3,1] , [7,5]]`, find the values of x and y such that A2 + xI2 = yA.
On her birthday, Seema decided to donate some money to the children of an orphanage home. If there were 8 children less, everyone would have got Rs.10 more. However, if there were 16 children more, everyone would have got Rs. 10 less. Let the number of children be x and the amount distributed by Seema for one child be y(in Rs.).
Based on the information given above, answer the following questions:
- Which of the following matrix equations represent the information given above?
On her birthday, Seema decided to donate some money to the children of an orphanage home. If there were 8 children less, everyone would have got Rs.10 more. However, if there were 16 children more, everyone would have got Rs. 10 less. Let the number of children be x and the amount distributed by Seema for one child be y(in Rs.)
Based on the information given above, answer the following questions:
- How much amount Seema spends in distributing the money to all the students of the Orphanage?
Two matrices A = [aÿ] and B = [bÿ] are said to be equal if.
What is the value of a, b, c and 'd' from the following equation?
`[(2a + b, a - 2b),(5c - d, 4c + 3d)] = [(4, -3),(11, 24)]`
Choose the correct answer in the following questions
If A = `[(alpha, beta),(y, - a)]` is such that A2 = I, then
