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johncena
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Ques.)-If A,B,C are three matrices such that A+B = A+C, then prove that B=C.
Can i cancel out the A's in LHS and RHS ?
Can i cancel out the A's in LHS and RHS ?
Matrix addition is a mathematical operation where two matrices of the same size are added together by adding their corresponding elements. This results in a new matrix with the same dimensions as the original matrices.
To perform matrix addition, the matrices must have the same number of rows and columns. Then, simply add the corresponding elements of the two matrices and place the result in the corresponding position of the new matrix.
No, matrices of different sizes cannot be added together. Matrix addition is only possible when the matrices have the same dimensions.
The properties of matrix addition are commutativity, associativity, and distributivity. This means that the order in which matrices are added does not matter, and that addition can be performed on multiple matrices at once.
Matrix addition is used in various fields such as physics, engineering, and computer graphics. It can be used to represent and solve systems of linear equations, perform transformations in 3D graphics, and handle data in machine learning algorithms.