# New post in Linear-algebra

## Why the ratios of the coefficient of x and y of two parallel lines are equal but it is not equal to the ratio of their constant terms?

August 21st, 2022

August 6th, 2022

## Is there a non-linear combination of basis vectors?

January 13th, 2023

## dimension of operations of subspaces

January 3rd, 2023

## How to prove that the solutions of a linear system Ax=0 is a vector space over R?

December 24th, 2022

## Matrix multiplication: AB=BA for every B implies A is of the form cI

December 22nd, 2022

## Finding rank of matrix A^2 =A

December 21st, 2022

## Proof that if $ax = 0_v$ either a = 0 or x = 0

December 11th, 2022

## 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