Find the similarity transformation matrix P such that | 1,2,2 2,1,2 2,2,1| Reduced to diagonal matrix

Find the similarity transformation matrix P such that | 1,2,2 2,1,2 2,2,1| Reduced to diagonal matrix

|A - λ e | = (5 - λ) (1 + λ) ^ 2. Therefore, the basic solution system of a with eigenvalues of 5, - 1, - 1 (a-5e) x = 0 is: A1 = (1,1,1) '(a + e) x = 0, and the basic solution system is: A2 = (1, - 1,0)', A3 = (1,0, - 1) '. By orthogonalizing A2 and A3, B2 = (1, - 1,0)', B3 = (1 / 2,1, - 1) 'and uniting them, C is obtained

Let a = 34004 - 3000022, find a ∧ 4

Is a four by four matrix? If not, it can't be exponentially calculated

The surface area of a cuboid is 130 square centimeters, the perimeter of its bottom is 18 centimeters, and its height is 5 centimeters. What's the volume of this cuboid?

Side area = bottom perimeter × height = 18 × 5 = 90
Bottom area = (surface side area) △ 2 = (130-90) △ 2 = 20
The cuboid volume = bottom area × height = 20 × 5 = 100 cubic centimeters

Sin (π / 4-x) = 5 / 13, then sin2x =?

sin2x
=cos(π/2-2x)
=cos2(π/4-x)
=1-2 [sin (π / 4-x)] ^ 2 (cosine double angle formula)
=1-2(5/13)^2
=119/169.

If LGA and LGB are the two roots of the equation 2x ^ 2 - 4x + 1 = 0, then the value of (LG (A / b)) ^ 2 is?
A 2
B 0.5
C 4
D 0.25
I'm looking for a process

lg(a/b)=lga-lgb
lg(a/b))^2=(lga-lgb)^2=（lga+lgb)^2-4lga*lgb=2^2-4*1/2=2
Choose a

Among the following functions, which functions have values that increase with the increase of the independent variable? Which functions have values that decrease with the increase of the independent variable? Which functions have graphs
Among the following functions, which function values increase with the increase of the independent variable? Which function values decrease with the increase of the independent variable? Which function images cross the origin?
（1）y=5-2x （2）y=-x+3 （3）y=x
(4) Y = 2 / 3x-2 (5) y = 5x-6 (6) y = - 0.75x
Give the answer before 9 o'clock tonight, or even if the answer is wrong, but it is after 9 o'clock tonight, I will close the question

k> The value of 0 function increases with the increase of independent variable 3,4,5
k

(1) the sum of a number plus three times of it is 480. What is the number? (2) the number a is 32.8, which is 3.6 less than four times of the number B
Find the number B

(1) Let the number be X
x+3x=480
The solution is x = 120
(2) Let B be X
4x-3.6=32.8
4x=32.8+3.6
4x=36.4
x=9.1

The sum ellipse 9x2 + 4y2 = 36 has the same focus and passes through points (2, - 3)

∵ the standard equation of ellipse 9x2 + 4y2 = 36 is x24 + & nbsp; Y29 = 1 ∵ its focus coordinate is (0, ± 5) ∵ the ellipse and ellipse 9x2 + 4y2 = 36 have the same focus, ∵ let the ellipse equation be x2b + y2b + 5 = 1 ∵ the ellipse passes through the point (2, - 3) ∵ 22b + (− 3) 2B + 5 = 1 ∵ B = 10 ∵ and ellipse 9x2 + 4y2 = 3

5X+10(40-X)=360
5x + 10 (40-x) = 360 how to do? Urgent, need to use at night?

5X+10（40-X）=360
5X+400-10X=360
400-5X=360
5X=40
X=8

Cos = - √ 2 / 2, and equal to

2kpi±¾pi