Question:
If $\begin{bmatrix}x+y+z\\ x+y\\ y+z\end{bmatrix} = \begin{bmatrix}9\\ 5\\ 7\end{bmatrix} $ then the value of (x, y, z) is:
If $\begin{bmatrix}x+y+z\\ x+y\\ y+z\end{bmatrix} = \begin{bmatrix}9\\ 5\\ 7\end{bmatrix} $ then the value of (x, y, z) is:
Updated On: Jul 6, 2022
- (4, 3, 2)
- (3, 2, 4)
- (2, 3, 4)
- none
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The Correct Option is C
Solution and Explanation
Given:
x + y = 5 ...(i)
y + z = 7 ...(ii)
and x + y + z = 9 ...(iii)
Putting the value of x + y = 5 in equation (iii)
we get
z = 9 - 5 = 4
So, y = 7 - 4 = 3 and x = 5 - 3 = 2
thus x = 2, y = 3 and z = 4.
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Concepts Used:
Matrices
Matrix:
A matrix is a rectangular array of numbers, variables, symbols, or expressions that are defined for the operations like subtraction, addition, and multiplications. The size of a matrix is determined by the number of rows and columns in the matrix.
The basic operations that can be performed on matrices are:
- Addition of Matrices - The addition of matrices addition can only be possible if the number of rows and columns of both the matrices are the same.
- Subtraction of Matrices - Matrices subtraction is also possible only if the number of rows and columns of both the matrices are the same.
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