For what value of x does `(1" "3" "2)({:(1,3,0),(3,0,2),(2,0,1):})({:(0),(3),(x):})=(0)` hold ?

Options

A. -1
B. 1
C. `9//8`
D. `-9//8`

Answer

D

Explanation

Given `(1" "3" "2)({:(1,3,0),(3,0,2),(2,0,1):})({:(0),(3),(x):})=({:(0),(0),(0):})`
`rArr (1+9+4" "6+2)({:(0),(3),(x):})=({:(0),(0),(0):})`
`rArr (14" "3" "8) ({:(0),(3),(x):})=({:(0),(0),(0):})`
`rArr 9+8x=0 rArr x=(-9)/(8)`
Hence, for `x=(-9)/(8)`
`(1" "3" "2)({:(1,3,0),(3,0,2),(2,0,1):})({:(0),(3),(x):})=(0)` holds.