Math, asked by Mohdsaqibansari5687, 11 months ago

Find the value of x if matrix 1,x,1,matrix 1,2,3,4,5,6,3,2,5,matrix 1,-2,3=0

Answers

Answered by MaheswariS
20

Answer:

\text{The value of x is$\:\frac{-5}{3}$}

Step-by-step explanation:

Given:

\left(\begin{array}{ccc}1&x&1\end{array}\right)\left(\begin{array}{ccc}1&2&3\\4&5&6\\3&2&5\end{array}\right)\left(\begin{array}{c}1&-2&3\end{array}\right)=O

when multiplying first and second matrices we get

\left(\begin{array}{ccc}1+4x+3&2+5x+2&3+6x+5\end{array}\right)\left(\begin{array}{c}1&-2&3\end{array}\right)=O

\implies\:\left(\begin{array}{ccc}4x+4&5x+4&6x+8\end{array}\right)\left(\begin{array}{c}1&-2&3\end{array}\right)=O

Multiplying these two matrices, we get

\left(\begin{array}{c}1(4x+4)-2(5x+4)+3(6x+8)\end{array}\right)=(0)

\implies\:\left(\begin{array}{c}4x+4-10x-8+18x+24)\end{array}\right)=(0)

\implies\:\left(\begin{array}{c}12x+20)\end{array}\right)=(0)

\implies\:12x+20=0

\implies\:3x+5=0

\implies\:\bf{x=\frac{-5}{3}}

Answered by sneha5744
2

Answer:

I hope this would help you out ☺️..

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