The matrix with the same eigenvalue of linear algebra and matrix A is the adjoint of transpose a of inverse matrix A of a * a, which one? Why?

The matrix with the same eigenvalue of linear algebra and matrix A is the adjoint of transpose a of inverse matrix A of a * a, which one? Why?


The characteristic polynomial of a is a - λ e = transpose - λ e of a, so the transpose of a and a have the same eigenvalue



N-order matrix, diagonal elements are 1, other position elements are equal (if all are a), find the determinant of this matrix
Sorry, I'm wrong. It's the characteristic polynomial of this matrix
I just want to know how I got here~
I want to know how a = AEE 'is deduced. I know the conclusion


It is suggested that a matrix with all elements a can be written as a = AEE ', where e is an n-dimensional column vector with all components 1, a is a matrix with rank no more than 1, and the eigenvalues are n-1 zeros and Na
Supplement:
"I want to know how a = AEE 'comes out"
This is obvious. If you can't see it, just multiply it to verify it



Make a 162 cubic decimeter cuboid shaped glass jar. The bottom is 9 decimeters long and the width is 2 / 3 of the length. How many decimeters should the height be?
Use the equation!


Volume = L * w * h
Width is 2 / 3 of length is (2 / 3) * 9 = 6
So Gao Wei
162 / (9 * 6) = 3 decimeters



With 88888, with addition, subtraction, multiplication, division and brackets to form 2008


8888/8+888+8/8+8=2008



The point (- 1,2) which is symmetric about X axis is (); the point which is symmetric about y axis is (); the point which is symmetric about origin is ()


Key: the coordinates of the axis of symmetry are unchanged
The point (- 1,2) symmetric about X axis is (1 -, - 2);
The point about Y-axis symmetry is (1,2);
Symmetric total sign change of origin
The point of symmetry about the origin is (1, - 2)



The cuboid pool is 8.5 meters long, 4 meters wide and 1.5 meters deep. 1. What is the floor area of the pool? 2. What is the volume of cubic meters?


1. The floor area is the bottom area of the cuboid: 8.5 * 4 = 34
2. Volume is the volume of cuboid: 8.5 * 4 * 1.5 = 51



3, 5, 6, 7, how about these four numbers, 24 o'clock


3×(7+6-5)=24



Application of definite integral in simple higher mathematics
r=1+sin2x
Enclosed area


Integral sign (RR / 2) DX
= [lower 0, upper 2pi] integral sign ([3 + 4sin2x-cos4x] / 4) DX
=(3/2)pi



54 m3 = () cubic decimeter = () liter


540 cubic decimeters
540 L



The length of an edge of a geometry is 7. In the front view of the geometry, the projection of the edge is a line segment of length 6. In the side view and top view of the geometry, the projection of the edge is a line segment of length a and B respectively. The maximum value of a + B is calculated


Let A1C = 7, then the projection length of the front view is d1c = 6, the projection length of the side view is B1C = a, the projection length of the top view is a1c1 = B, then A2 + B2 + (6) 2 = 2 × (7) 2, that is, A2 + B2 = 8. ∵ A2 + B2 ≥ 2Ab, ∵ 2 (A2 + B2) ≥ (a + b) 2, ∵ a + B2 ≤ A2 + B22 = 2, if and only if "a = b = 2" ”The maximum value of a + B is 4