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What would be the result if you add matrices B plus A instead A plus B?
It would be no different. Matrix addition is Abelian or commutative. Matrix mutiplication is not.
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.
what is the product of 44 and 23?
Hadamard product for a 3 × 3 matrix A with a 3 × 3 matrix B
How do you add 3 x 3 matrix?
You can only add a 3x3 matrix to another matrix of the same size. The reuslt is a 3x3 matrix where each element is the sum of the elements in the corresponding positions in the two summand matrices.Symbolically,if A = {aij} and B = {bij} then A + B = {aij + bij}where i=1,2,3 and j = 1,2,3
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.
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.
If properties of matrix addition let A B C D the m n matrix then 1 A plus B B plus A?
Yes. Matrix addition is commutative.
How do you derive scattering matrix?
s=b/a for n port network in matrix form[b]=[s]*[a].there is also relation between z matrix in s matrix.
If A is any mxn such that AB and BA are both defined show that B is an mxn matrix?
By rule of matrix multiplication the number of rows in the first matrix must equal the number of rows in the second matrix. If A is an axb matrix and B is a cxd matrix, then a = d. Then if BA is defined, then c = b. This means that B is not necessarily mxn, but must be nxm.
suppose you want to multiply matrix A and matrix B?
commutative
What is B called in the matrix representation of a system of linear equations when written as AX equals B?
A = coefficient matrix (n x n) B = constant matrix (n x 1)
If properties of matrix addition let A B C D the m n matrix then 1A plus B B plus A?
We have to proof that A+B=B+A we know from defn of matrix addition that (ij )th element of B+A is bij+aij Since aij &bij are real no's aij +bij =bij+aij (1
What is cut set matrix?
a cut set matrix consists of minimum set of elements such that the graph is divided into two parts separate path may be a voltage or branch or set of branches.
What would be the result if you add matrices B plus A instead A plus B?
It would be no different. Matrix addition is Abelian or commutative. Matrix mutiplication is not.
Find a matrix A that is not invertible and b such that Ax equals b has a unique solution?
A matrix with a row or a column of zeros cannot have an inverse.Proof:Let A denote a matrix which has an entire row or column of zeros. If B is any matrix, then AB has an entire rows of zeros, or BA has an entire column of zeros. Thus, neither AB nor BA can be the identity matrix, so A cannot have an inverse, or A cannot be invertible.Since A is not invertible, then Ax = b has not a unique solution.
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.
What is order of the resultant matrix AB when two matrices are multiplied and the order of the Matrix A is m n order of Matrix B is n p Also state the condition under which two matrices can be mult?
the order is m p and the matrices can be multiplied if and only if the first one (matrix A) has the same number of columns as the second one (matrix B) has rows i.e)is Matrix A has n columns, then Matrix B MUST have n rows.Equal Matrix: Two matrices A=|Aij| and B=|Bij| are said to be equal (A=B) if and only if they have the same order and each elements of one is equal to the corresponding elements of the other. Such as A=|1 2 3|, B=|1 2 3|. Thus two matrices are equal if and only if one is a duplicate of the other.
