1. [14 points] true-false type questions [2 points each] a. detat (-1)deta. b. a finite set of vectors that contains 0 will be linearly dependent. c. det a 0 if and only if nullity (a) = 0._ d. suppose w is a subspace of a vector product space v and w its orthogonal complement, then wn w = {}. e. if anxm matrix then, ata is an invertible matrix f. if a is an orthogonal matrix of order n then, det (a) t1. g. a square matrix a of order n is diagonalizable if and only if it has n linearly independent eigenvectors

c

step-by-step explanation:

it would be see because your formula is f(x)=6x, so 6 times 1 is 6 and you go on and the best answer is c.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.