MHB Property of Matrix Multiplication

Yankel
Messages
390
Reaction score
0
Hello, I wanted to ask if this is a correct move, A and B are matrices, a is a scalar, thank you !

A^{2}\cdot B^{t}-aA=A(A\cdot B^{t}-aI)
 
Physics news on Phys.org
Yankel said:
Hello, I wanted to ask if this is a correct move, A and B are matrices, a is a scalar, thank you !

A^{2}\cdot B^{t}-aA=A(A\cdot B^{t}-aI)
Seems correct to me.
 
Yankel said:
Hello, I wanted to ask if this is a correct move, A and B are matrices, a is a scalar, thank you !

A^{2}\cdot B^{t}-aA=A(A\cdot B^{t}-aI)

Hi Yankel, :)

Yes, its correct because matrix multiplication is distributive over matrix addition.

Kind Regards,
Sudharaka.
 
Thank you !
 
The world of 2\times 2 complex matrices is very colorful. They form a Banach-algebra, they act on spinors, they contain the quaternions, SU(2), su(2), SL(2,\mathbb C), sl(2,\mathbb C). Furthermore, with the determinant as Euclidean or pseudo-Euclidean norm, isu(2) is a 3-dimensional Euclidean space, \mathbb RI\oplus isu(2) is a Minkowski space with signature (1,3), i\mathbb RI\oplus su(2) is a Minkowski space with signature (3,1), SU(2) is the double cover of SO(3), sl(2,\mathbb C) is the...