Write down the homogeneous system of linear equations in the unknowns x,y,z (in this order) that has the following coefficient matrix:
[0][-1][1]
[1][-2][2]
[-2][4][-3]
Do not carry out any simplifications, but make the direct translation from the matrix to the system.
Note that for a homogeneous system, it is common to omit writing down the last column of zeroes from the augmented matrix. This is what has been done here. This system of linear equations can be entered in two ways:
- by using the left brace which is already in the answer field. (It can be found on the virtual palette under the vector tab if you accidentally delete it; it is set for two rows, but you can add a row by pressing the down arrow on your keyboard.)
- by using the logic "and" (∧) between any two equations (the symbol ∧ can be entered by clicking its icon on the virtual palette, under the logic tab).