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Matrix Basics
A matrix is a grid of entries in row/column format. Matrix entries are denoted by aij where is the row and j is the column
a11 a12 a13
a21 a22 a23
a31 a32 a33
Matrix addition and subtraction involves adding or subtracting respective matrix entries
a11 a12 a13
a21 a22 a23
a31 a32 a33
+
b11 b12 b13
b21 b22 b23
b31 b32 b33
=
a11 + b11 a12 + b12 a13 + b13
a21 + b21 a22 + b22 a23 + b23
a31 + b31 a32 + b32 a33 + b33