List questions from projection-matrices

Published on 16 Apr 2026 - 21:50

2.7k

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The relationship between spectral decomposition / eigendecomposition and projection operators

Published on 12 Apr 2026 - 16:44

48

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Supposed projection matrix isn't projection in eigendecomposition

Published on 10 Apr 2026 - 5:48

323

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Comparing the rank of two matrices

Published on 15 Apr 2026 - 19:07

931

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

Published on 15 Apr 2026 - 4:22

1.4k

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rank-d Projection Matrix

Published on 15 Apr 2026 - 21:25

570

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Distance between the spans of two matrices

Published on 10 May 2026 - 13:49

648

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

Published on 10 May 2026 - 19:15

103

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Proving the equality of two projection matrices

Published on 14 Apr 2026 - 11:11

9k

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

Published on 11 Apr 2026 - 16:15

440

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

Published on 11 Apr 2026 - 18:47

118

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Determining the projections onto the Horizontal and Vertical Space

Published on 12 Apr 2026 - 9:43

564

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How to geometrically interpret conditional expectation property tower rule??

Published on 12 Apr 2026 - 12:17

2.9k

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

Published on 15 Apr 2026 - 21:35

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 15 Apr 2026 - 18:25

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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