Mathematics II20805 marksNumerical: vector equality and operationsVector equations
When two column vectors in mathbbR2 are equal? Give an example. Compute u + 3v, u - 2v, where u = beginbmatrix 1 -3 2 endbmatrix, quad v = beginbmatrix 1 -1 3 endbmatrix
When two column vectors in $\mathbb{R}^2$ are equal? Give an example. Compute $u + 3v$, $u - 2v$, where $u = \begin{bmatrix} 1 \ -3 \ 2 \end{bmatrix}, \quad v = \begin{bmatrix} 1 \ -1 \ 3 \end{bmatrix}$ [5]
Given data: $$\mathbf{u} = \begin{bmatrix} 1 \ -3 \ 2 \end{bmatrix}, \quad \mathbf{v} = \begin{bmatrix} 1 \ -1 \ 3 \end{bmatrix}$$ Tasks: 1. State the condition for equality of two column vectors in $\mathbb{R}^2$, with an example. 2. Compute $\mathbf{u} + 3\mathbf{v}$ and