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Matrices and Determinants question

2008 · Shift 0 · Q38

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JEE Main
Mathematics
Matrices and Determinants
2008 · Shift 0 · Q38

Matrices and Determinants question

2008 · Shift 0 · Q38

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

a, b, c

be any real numbers. Suppose that there are real numbers

x, y, z

not all zero such that

x=cy+bz,y=az+cx,

and

z=bx+ay.

Then

{a^2} + {b^2} + {c^2} + 2abc

is equal to :

A
$2$
B
$-1$
C
$0$
D
$1$

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