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What else can I help you with?
If A = ■(1&2@1&4) & ■(2&1@2&1) Find the product matrix AB & hence find its inverse matrix, if it exists?
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Definition of commutative matrix?
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.
How can you tell if two matrices are inverses of each other?
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.
Let A be a 6by4 matrix and B a 4by6 matrix show that the 6by6 matrix AB can not be invertible?
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.
What are the advantages of Identity matrix?
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.
What is the meaning of inverse matrices?
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?
Explain the Matrix approach to product planning. Suggest a Marketing strategy on the basis of the product evaluation matrix.
What is matrix multiplication not?
Matrix multiplication is not commutative, meaning that for two matrices A and B, the product AB is generally not equal to BA. Additionally, matrix multiplication is not defined for matrices of incompatible dimensions; for instance, you cannot multiply a 2x3 matrix by a 3x2 matrix without ensuring the inner dimensions match. Lastly, matrix multiplication does not distribute over addition in the same way as scalar multiplication, as the order of operations can affect the result.
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.
What is the product of matrix A and C?
It's matrix C.
what is the product of 44 and 23?
Hadamard product for a 3 × 3 matrix A with a 3 × 3 matrix B
Identify the parts of this chemical reaction A B AB?
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.
