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What is the matrix product AB?

monique robles ∙

Lvl 14

∙ 3y ago

Updated: 10/17/2024

SEEN NO MATRIX TO SOLVE USE PICTURES NEXT TIME

kanisio ∙

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∙ 3y ago

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monique robles ∙

Lvl 14

∙ 3y ago

Harry Rogahn ∙

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∙ 3y ago

great answer, thxx!

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Q: What is the matrix product AB?

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If the product of two matrices is an identity matrix then, one matrix is inverse of the other. i.e. AB = I then, A = B-1 and B = A-1Inverse of matrix can be found by using these two results:A = AI and A = IA.By using these results inverse of a matrix can be found by applying same elementary row or column operation on both sides. A on R.H.S. remains as it is.

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What are the applications of cross product and dot product?

Cross product tests for parallelism and Dot product tests for perpendicularity. Cross and Dot products are used in applications involving angles between vectors. For example given two vectors A and B; The parallel product is AxB= |AB|sin(AB). If AXB=|AB|sin(AB)=0 then Angle (AB) is an even multiple of 90 degrees. This is considered a parallel condition. Cross product tests for parallelism. The perpendicular product is A.B= -|AB|cos(AB) If A.B = -|AB|cos(AB) = 0 then Angle (AB) is an odd multiple of 90 degrees. This is considered a perpendicular condition. Dot product tests for perpendicular.

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1 For the two vectors find the scalar product AB and the vector product?

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