MHB Property of Matrix Multiplication

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The discussion centers on the validity of the equation A²·Bᵗ - aA = A(A·Bᵗ - aI), where A and B are matrices and a is a scalar. Participants confirm that the equation is correct, citing the distributive property of matrix multiplication over addition. The consensus is that the manipulation adheres to established matrix algebra rules. The clarification emphasizes the importance of understanding matrix operations in mathematical expressions. Overall, the equation is validated as a correct transformation.
Yankel
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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)
 
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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 !
 
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