List questions from linear-algebra

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Left divisors are right divisors in an algebra where every element is algebraic

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Exercises about polynomials linear transformazion

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Finding f(T) without fixing a basis

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Gram Schmidt For $R_2[x]$ Basis

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Link between the dimension of the image of a linear application and the minimal polynomial

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Have I found the Jordan form correctly?

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Bilinear form and congruence matrix

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Find a matrix where the determinant is never $0$ regardless of the first entry

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Case where an orthogonal projection matrix becomes a diagonal matrix?

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For every complex and not real number $z$: $A - zI $ is invertible.

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Finding If $u\in \operatorname{Im}(T)$

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Prove: $ \operatorname{Ker}(T)^\perp= \operatorname{Im}(T^*)$

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$P^2 = P$ implies that $P$ is the orthogonal projection of $V$ onto some subspace $U$.

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The determinant of $T: \mathbb C^2\to \mathbb C^2$ as an $\mathbb R$-linear operator

Published on 14 Apr 2026 - 20:21

List Question

Simplifying the determinant of a $3×3$ matrix

Left divisors are right divisors in an algebra where every element is algebraic

Exercises about polynomials linear transformazion

Finding f(T) without fixing a basis

Gram Schmidt For $R_2[x]$ Basis

Link between the dimension of the image of a linear application and the minimal polynomial

Have I found the Jordan form correctly?

Bilinear form and congruence matrix

Find a matrix where the determinant is never $0$ regardless of the first entry

Case where an orthogonal projection matrix becomes a diagonal matrix?

For every complex and not real number $z$: $A - zI $ is invertible.

Finding If $u\in \operatorname{Im}(T)$

Prove: $ \operatorname{Ker}(T)^\perp= \operatorname{Im}(T^*)$

$P^2 = P$ implies that $P$ is the orthogonal projection of $V$ onto some subspace $U$.

The determinant of $T: \mathbb C^2\to \mathbb C^2$ as an $\mathbb R$-linear operator

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