For those who still think the only sorts of vectors are objects with magnitude and direction please demonstrate the magnitude and direction of the row and column vectors in the matrix analysis of a simple circuit attached. Each has 6 components.
I have solved the circuit by the matrix equation MI = R, where I is a column vector and R is a row vector.
Please note the physical dimensions ( quantities) change half way through the vectors as the first three equations are about a current balance (KCL) and the last three are about a voltage balance (KVL), so all the terms in the vector are not in the same units.
The fact that the maths (arithmetic) still works out shows how careful you must be transferring from the arithmetical world of numbers to the physical one of units.
I have solved the circuit by the matrix equation MI = R, where I is a column vector and R is a row vector.
Please note the physical dimensions ( quantities) change half way through the vectors as the first three equations are about a current balance (KCL) and the last three are about a voltage balance (KVL), so all the terms in the vector are not in the same units.
The fact that the maths (arithmetic) still works out shows how careful you must be transferring from the arithmetical world of numbers to the physical one of units.
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