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| ap 1.....ap q |
arranged in p horizontal rows, and q vertical columns is called a p × q series-matrix, and will be denoted by the letter A.
If all the quantities ah k are multiplied by C, the resulting matrix will be denoted by CA.
If the roles of the horizontal rows and vertical columns be intercharged, we obtain a q × p series matrix, which will be known as the transposed matrix of A, and will be denoted by Ā.
Ā = | a₁₁ ...... ap 1 |
| |
| a1 q ...... ap q |
If we have a second p × q series matrix B,