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The two matrices and their answer must be of the same dimensions.

Each element of the answer matrix is the sum of the elements in the corresponding elements on the matrices that are being added.

In algebraic form,

if A = {aij} where 1 ≤ i ≤ m, 1 ≤ j ≤ n is an mxn matrix

B = {bij} where 1 ≤ i ≤ m, 1 ≤ j ≤ n is an mxn matrix

and C = {cij} = A + B,

then C is an mxn matrix and cij = aij + bij for all 1 ≤ i ≤ m, 1 ≤ j ≤ n

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Q: Addition of two matrices

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madhar chod

The matrices must have the same dimensions.

Addition of two matrices is simply performed by iterating over all of the elements and adding elements with like indices together. A c code snippet... for (i=0; i<N; i++) for (j=0; j<M; j++) c[i][j] = a[i][j] + b[i][j];

how to multiply two sparse matrices

Matrices can't be "computed" as such; only operations like multiplication, transpose, addition, subtraction, etc., can be done. What can be computed are determinants. If you want to write a program that does operations such as these on matrices, I suggest using a two-dimensional array to store the values in the matrices, and use for-loops to iterate through the values.

The usual rules of addition of fractions apply.

Matrix arithmetic

Yes, because otherwise addition and subtraction are not defined.

no

Matrix addition is commutative if the elements in the matrices are themselves commutative.Matrix multiplication is not commutative.

Write a program to add two matrices using the concept of arrays.

write a program of two matrices and show row and column wise

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