Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Engineering Mathematics Linear Algebra Matrix Algebra
Let M2×2 (R) be the vector space of all 2 * 2 matrices over R
Let
\({W_1} = \left\{ {\left[ {\begin{array}{*{20}{c}} x&y\\ 0&x \end{array}} \right]\;:x,\;y \in R} \right\}\) and
\({W_2} = \left\{ {\left[ {\begin{array}{*{20}{c}} x&y\\ z&0 \end{array}} \right]\;:x,\;y,\;z \in R} \right\}\) then
dim (W1 ∩ W2) is equal to ______.
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