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The inverse of addition is subtraction.
Please clarify what you want to "solve". There are several operations you can do with matrices, such as add them, multiply them, transpose them, etc.
Gauss Elimination
No. Determinants are only defined for square matrices.No. Determinants are only defined for square matrices.
The multiplicative inverse, or reciprocal, of a number "x", is "1/x". For example, the multiplicative inverse of 5 is 1/5. For a fraction, just exchange numerator and denominator. For example, the multiplicative inverse of 2/5 is 5/2.