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If is matrix and is a vector
MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices
Problem
If
A
A
A
is
3
×
3
3 \times 3
3
×
3
matrix and
u
\mathbf{u}
u
is a vector. If
A
u
A\mathbf{u}
A
u
and
u
\mathbf{u}
u
are orthogonal for all real
u
\mathbf{u}
u
, then matrix
A
A
A
is a (1) singular (2) non-singular (3) symmetric (4) skew-symmetric
Related theory
Dot Product
Vectors
Symmetric and Skew-Symmetric Matrices
Matrices
Linear Transformations
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