Can We Subtract Matrices with Different Dimensions?

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Matrices with different dimensions cannot be subtracted in the traditional sense, as subtraction is defined only for matrices with the same number of rows and columns. The concept of "removing" matrices can be interpreted as element-wise subtraction, but this requires defining the elements of the smaller matrix in a way that accommodates the larger matrix's dimensions. For example, one could set elements of the smaller matrix to zero for indices outside its defined range. However, this approach would not adhere to standard algebraic rules and may not be practically useful. Therefore, while it is technically possible to define such a subtraction, it is not recommended.
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We have a matrix A4x5 and B2x3 can we remove(-) them A-B

Thanks
 
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That depends upon what you mean by "remove". Normally "-" means "subtract". That is defined only for matrices with the same number of rows and columns.

If you mean a_{ij}- b_{ij}, taking b_{ij}= 0 if i> 2 and j> 3, you can define that (you can define anything) but it will not obey any of the usual algebraic rules- so probably won't be of much use.
 

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