# New post in Linear-algebra

## If $x+y+z=5$ and $xy+yz+zx=3$,then least and largest value of $x$ are?

December 5th, 2022

## Product of two symmetric matrices is similar to a symmetric matrix

December 4th, 2022

July 23rd, 2022

## How to prove that a homogeneous system of linear equations with more unknowns than equations has infinitely many solutions?

November 27th, 2022

## Find the shortest distance from the point P = (2,2,5)

August 15th, 2022

## Let A and B be n by n matrices . Prove that if A is symmetric and B be skew-symmetric , then {A,B} is a linearly independent set.

November 20th, 2022

## Finding the image of an arbitrary vector.

August 15th, 2022

July 23rd, 2022

## # of invertible $n \times n$ matrices with entries in field $k$ with $q$ elements?

August 14th, 2022

## Determinants with arithmetic progressions as columns

October 18th, 2022

## Conditions of $AB=0$ where $A$ and $B$ are matrices of compatible dimensions

August 14th, 2022

## How to find the general solution to this matrix?

September 30th, 2022

July 22nd, 2022

## What is the proof that det(A) = det(A transpose)?

September 29th, 2022

September 29th, 2022

July 22nd, 2022

August 8th, 2022

## How to show that if $A, B$, and $A + B$ are invertible matrices with the same size, then $A(A^{ −1} + B^{ −1} )B(A + B)^ {−1} = I$

August 27th, 2022

July 29th, 2022

## What's the proof that sum of all projection operators for orthonormal basis gives us identity operator?

September 16th, 2020

June 11th, 2020

March 4th, 2020

## Many Body Physics: Hamiltonian block structure and Symmetries

August 11th, 2022

August 1st, 2022

August 1st, 2022

August 1st, 2022

August 1st, 2022

March 24th, 2020

## Infinite dimensional vector spaces vs. the dual space

December 19th, 2020

August 1st, 2022