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PPSC Paper 2021 (Lecturer in Mathematics)
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\\ - Banach space - Normed space - Linear space - All of these - Let \(f(x)=[x],\) gr... =||u||\,||v||\) iff: \\ - \(u\) nd \( v\) are linearly independent - \(u\) and \( v\) are linearly dependent - \(u \) and \( v\) are scalar multiple ... ) be two vectors spaces such that \(T:V\to U\), a linear transformation. Then : \\ - \(\dfrac{V}{{\rm
PPSC Paper 2011 (Lecturer in Mathematics)
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...+x_pv_p=0$ has only trivial solution. \\ - Linearly independent - Basis - Linearly dependent - None of these - The set $C_n$ of all, $nth$ ro... None of these - Let $T:U\longrightarrow V$ be a linear transformation from an $n$ dimensional vector spa... ctors in $\mathbb{R}^2$ is ------------ \\ - linearly independent - linearly dependent - basi
PPSC Paper 2015 (Lecturer in Mathematics)
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\([0,\infty[\) - Which of the following is not linear? \\ - $y'=(\sin x )y$ - $y'=(\sin y )x+e