Answer

Verified

414.6k+ views

**Hint:**In order to solve this problem we need to know if two matrices A and B are said to be equal if A and B have the same order and their corresponding elements are equal. Corresponding elements of the matrix A and the matrix B are equal, that is the entries of the matrix A and the matrix B in the same position are equal. Knowing this will solve your problem.

__Complete step-by-step answer__:We need to find the values of x and y that can make the following matrices equal:

$\left[ \begin{gathered}

3x + 7\,\,\,\,\,\,5 \\

y + 1\,\,\,\,\,2 - 3x \\

\end{gathered} \right] = \left[ \begin{gathered}

0\,\,\,\,\,\,y - 2 \\

8\,\,\,\,\,\,\,\,\,\,4 \\

\end{gathered} \right]$

Two matrices A and B are said to be equal if A and B have the same order and their corresponding elements are equal. Corresponding elements of the matrix A and the matrix B are equal, that is the entries of the matrix A and the matrix B in the same position are equal.

So, we do

3x + 7 = 0

So, the value of x is $\dfrac{{ - 7}}{3}$.

If we want to check whether the value of x is correct or not then we will check the last element of the matrices that is 2 – 3x = 4

And here the value of x is $\dfrac{{ - 2}}{3}$.

Therefore x cannot have two values in the same matrices. So it is unable to find the values and finding the value of y is also of no use.

**Therefore, the correct answer to this problem is B, not possible to find.**

**Note**:When you get to solve such problems you need to know that one variable cannot have different values in the same matrices. Here we have found two different values so either the matrices are not equal or the matrices given are wrong.

Recently Updated Pages

How do you find slope point slope slope intercept standard class 12 maths CBSE

How do you find B1 We know that B2B+2I3 class 12 maths CBSE

How do you integrate int dfracxsqrt x2 + 9 dx class 12 maths CBSE

How do you integrate int left dfracx2 1x + 1 right class 12 maths CBSE

How do you find the critical points of yx2sin x on class 12 maths CBSE

How do you find the general solution to dfracdydx class 12 maths CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

Define limiting molar conductivity Why does the conductivity class 12 chemistry CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Name 10 Living and Non living things class 9 biology CBSE

The Buddhist universities of Nalanda and Vikramshila class 7 social science CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE