Determine if the matrix below is invertible. use as few calculations as possible. justify your answer. [3 0 -4] [2 0 6] [-3 0 8]choose the correct answer below. (a) the matrix is invertible. the columns of the given matrix span r^3.(b) the matrix is not invertible. if the given matrix is a, the columns of a do not form a linearly independent set.(c) the matrix is invertible. the given matrix has 2 pivot positions.(d) the matrix is not invertible. if the given matrix is a, the equation ax = 0 has only the trivial solution.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

(23*2)-12=x     x=34

step-by-step explanation:

x = 23.78

step-by-step explanation: