SEEN NO MATRIX TO SOLVE USE PICTURES NEXT TIME
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Commutative Matrix If A and B are the two square matrices such that AB=BA, then A and B are called commutative matrix or simple commute.
Two matrices ( A ) and ( B ) are inverses of each other if their product results in the identity matrix. Specifically, this means that ( AB = I ) and ( BA = I ), where ( I ) is the identity matrix of the same size as ( A ) and ( B ). If both conditions are satisfied, then ( A ) and ( B ) are indeed inverses. If either product does not equal the identity matrix, then the matrices are not inverses.
It is not possible to show that since it is not necessarily true.There is absolutely nothing in the information that is given in the question which implies that AB is not invertible.
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.
If, for an n*n matrix, A, there exists a matrix B such that AB = I, where I is the n*n identity matrix, then the matrix B is said to be the inverse of A. In that case, BA = I (in general, with matrices, AB ≠BA) I is an n*n matrix consisting of 1 on the principal diagonal and 0s elsewhere.
Explain the Matrix approach to product planning. Suggest a Marketing strategy on the basis of the product evaluation matrix.
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.
It's matrix C.
Hadamard product for a 3 × 3 matrix A with a 3 × 3 matrix B
This equation represents an elementary example of a synthesis type reaction. The formula for this reaction is A + B = AB, where A & B are reactants and AB is the product.
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