a and b are vectors such that a=(} 4 -1 ) Find b as a column vector. Optional working 2a-3b=(} 17 -5 )

## Step1:Given vectors and , with as , and an equality . ## Step2:Firstly, multiply the vector by 2. This means every component of is multiplied by 2.### \(2\mathbf{a} =2 \times \begin{pmatrix}4\\-1\end{pmatrix} = \begin{pmatrix}2\times4\\2\times(-1)\end{pmatrix}\)## Step3:Next, you subtract equation established earlier by this new vector . ### ### You rearrange this transaction to give:### ## Step4:Remember that mean each element in is multiplied by -3. Accordingly, to find vector , you divide both sides by -3 to obtain.### \(\mathbf{b} = \frac{1}{-3} \times (\begin{pmatrix}17\\-5\end{pmatrix} - \begin{pmatrix}2\times4\\2\times(-1)\end{pmatrix})\)## Step5:Lastly, perform the subtraction in parentheses and multiplication by the scaler on the right-hand side of the equality. All in once step.