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What is [x" "y" "z][{:(a,h,g),(h,b,f),(g...

What is `[x" "y" "z][{:(a,h,g),(h,b,f),(g,f,c):}]`equal to ?

A

`[ax+hy+gz+h+b+f" "g+f+c]`

B

`[{:(a,h,g),(hx,by,fz),(g,f,c):}]`

C

`[{:(ax+hy+gz),(hx+by+fz),(gx+fy+cz):}]`

D

`[ax+hy+gz" "hx+by+fz" "gx+gy+cz]`

Text Solution

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The correct Answer is:
D
`[(x,y,z)][(a,h,g),(h,b,f),(g,f,c)]`
`=[ax+hy+gx" "hx+by+fz" "gx+fy+cz]`
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NDA PREVIOUS YEARS-MATRICES & DETERMINANTS-MQS
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  18. What is the value of the determinant |{:(1," "1," "1),(1,1+xyz," "1),(...

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  19. If |{:(x,y,0),(0,x,y),(y,0,x):}|=0, then which one of the following is...

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