Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Linear Algebra Matrix Algebra
Let T : R3 → R3 be the linear transformation whose matrix with respect to the standard basis of R3 is \(\left( {\begin{array}{*{20}{c}} 0&a&b\\ { - a}&0&c\\ { - b}&{ - c}&0 \end{array}} \right)\) where a, b, c are real numbers not all zero. Then T
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is one-to-one
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is onto
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does not map any line through the origin onto itself
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has rank 1