Find the characteristic polynomial of a. use x for the variable in your polynomial. you do not need to factor your polynomial. a = [0 0 1] [ 4 -3 4] [-2 0 -3] 1. haracteristic polynomial of a is

 The required characteristic polynomial of the given matrix A is

Step-by-step explanation:  We are given to find the characteristic polynomial  of the following 3 × 3 matrix A  with unknown variable x :

We know that

for any square matrix M, the characteristic polynomial is given by

where I is an identity matrix of same order as M.

Therefore, the characteristic polynomial of matrix A is

Thus, the required characteristic polynomial of the given matrix A is

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3