Question

Given that a= (4) and b= (2) (7) (4) If

Answer 1

Answer:

x = 12, y = 20

Step-by-step explanation:

Given

4a - 2b

= 4$\left[\begin{array}{ccc}4\\7\\\end{array}\right]$ - 2$\left[\begin{array}{ccc}2\\4\\\end{array}\right]$ ← multiply each component by the scalar

= $\left[\begin{array}{ccc}4(4)\\4(7)\\\end{array}\right]$ - $\left[\begin{array}{ccc}2(2)\\2(4)\\\end{array}\right]$

= $\left[\begin{array}{ccc}16\\28\\\end{array}\right]$ - $\left[\begin{array}{ccc}4\\8\\\end{array}\right]$ ← subtract corresponding components

= $\left[\begin{array}{ccc}16-4\\28-8\\\end{array}\right]$

= $\left[\begin{array}{ccc}12\\20\\\end{array}\right]$ = $\left[\begin{array}{ccc}x\\y\\\end{array}\right]$

with x = 12 and y = 20