List questions from projection-matrices

Published on 25 Mar 2026 - 6:29

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The relationship between spectral decomposition / eigendecomposition and projection operators

Published on 25 Mar 2026 - 22:09

46

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Supposed projection matrix isn't projection in eigendecomposition

Published on 25 Mar 2026 - 6:26

320

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Comparing the rank of two matrices

Published on 25 Mar 2026 - 17:43

929

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If $Q$ is hermitian and unitary, prove that $Q=I-2P$ for some orthogonal projection $P$?

Published on 25 Mar 2026 - 8:10

1.4k

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rank-d Projection Matrix

Published on 03 Sep 2018 - 0:55

566

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Distance between the spans of two matrices

Published on 25 Mar 2026 - 1:24

642

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Finding the projections associated to the direct sum decomposition of a vector space

Published on 25 Mar 2026 - 8:09

100

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Proving the equality of two projection matrices

Published on 23 Sep 2018 - 21:50

9k

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Finding a projection matrix onto the $xz$-plane.

Published on 24 Sep 2018 - 4:20

438

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Upper bound on norm of linear projection on column space of $X$

Published on 25 Mar 2026 - 9:50

115

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Determining the projections onto the Horizontal and Vertical Space

Published on 10 Oct 2018 - 16:14

561

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How to geometrically interpret conditional expectation property tower rule??

Published on 19 Oct 2018 - 17:20

2.9k

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Show that a symmetric and idempotent matrix $P$ is the projection matrix onto some subspace.

Published on 25 Mar 2026 - 19:05

1.7k

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Why is the sum of elements in each row of $X(X^T X)^{-1} X^T$ in OLS equal to $1$?

Published on 25 Mar 2026 - 19:07

List Question

Matrix of orthogonal projection on $L=span(x_1,x_2,x_3)$ where $x_1^2+x_2^2+x_3^2=1$

The relationship between spectral decomposition / eigendecomposition and projection operators

Supposed projection matrix isn't projection in eigendecomposition

Comparing the rank of two matrices

If $Q$ is hermitian and unitary, prove that $Q=I-2P$ for some orthogonal projection $P$?

rank-d Projection Matrix

Distance between the spans of two matrices

Finding the projections associated to the direct sum decomposition of a vector space

Proving the equality of two projection matrices

Finding a projection matrix onto the $xz$-plane.

Upper bound on norm of linear projection on column space of $X$

Determining the projections onto the Horizontal and Vertical Space

How to geometrically interpret conditional expectation property tower rule??

Show that a symmetric and idempotent matrix $P$ is the projection matrix onto some subspace.

Why is the sum of elements in each row of $X(X^T X)^{-1} X^T$ in OLS equal to $1$?

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