If the fourth order matrix A is similar to B, and the eigenvalues of matrix A are - 1, 1, 2, 3, then the determinant | b2-2b|=______ ．

If the fourth order matrix A is similar to B, and the eigenvalues of matrix A are - 1, 1, 2, 3, then the determinant | b2-2b|=______ ．

Because the fourth-order matrix A and B are similar, a and B have the same eigenvalues. All the eigenvalues of B are - 1, 1, 2, 3. All the eigenvalues of b2-2b are (- 1) 2-2 (- 1) = 3, 12-2 = - 1, 22-2.2 = 0, 32-2.3 = 3. B2-2b | = 3 · (- 1) · 0.3 = 0

If 3 is the eigenvalue of matrix A of order n * n, and the determinant | a | = 2, what is an eigenvalue of the adjoint matrix of a? Why?

An eigenvalue is 2 / 3, the analysis is shown in the figure

The value of determinant 5-301 of fourth order matrix is 0-2-1010470302
This is a fourth-order determinant. Because it can't be typed, the first line is 5-3,0,1, the second line is 0, - 2, - 1,0, the third line is 1,0,4,7, and the fourth line is 0,3,0,2

r1-5r3
0 -3 -20 -34
0 -2 -1 0
1 0 4 7
0 3 0 2
r1+r4,r2+r4
0 0 -20 -32
0 1 -1 2
1 0 4 7
0 3 0 2
r4-3r2
0 0 -20 -32
0 1 -1 2
1 0 4 7
0 0 3 -4
r1+7r4
0 0 1 -60
0 1 -1 2
1 0 4 7
0 0 3 -4
r4-3r1
0 0 1 -60
0 1 -1 2
1 0 4 7
0 0 0 176
R1r4 (determinant variable sign)
1 0 4 7
0 1 -1 2
0 0 1 -60
0 0 0 176
Determinant = - 176

Factorization of (m square + 4m + 2) square surface-4

Original formula = (m ^ 2 + 4m + 2) ^ 2-4
=(m^2+4m+2)^2-2^2
=[(m^2+4m+2)-2][(m^2+4m+2)+2]
=(m^2+4m)(m^2+4m+4)
=m(m+4)(m+2)^2

Thirty five out of sixteen plus nine out of eight times five out of three plus one out of eight

It's five
First, nine eighths times five thirds = forty-five twenty-four, then thirty-five sixteenth and one eighth, forty-eight two hundredths. After dividing by two, dividing by two, dividing by six, dividing by two again, that is one fifth, that is five

Through the origin line and circle: x ^ 2 + y ^ 2-6x + 5 = 0 intersection at a, B, find the trajectory equation of point m in ab

Circle x ^ 2 + y ^ 2-6x + 5 = 0, the standard equation is (x-3) ^ 2 + y ^ 2 = 4, the center coordinates (3,0) using the given conditions, find the relationship between the lines, the line passing through the origin and the line passing through the chord midpoint are perpendicular to the center of the circle, set the coordinates of point m as (x, y), the midpoint m is on the line passing through the origin, so the slope of the line passing through the origin is K1 = Y / x, passing through the chord

The difference between 3 / 7 of a number minus 30 is 60 divided by 2?

Let this number be X
(x*(3/7)-30)=60/2
(3/7)x=60
x=140
I wish you progress in your studies

49 of a number is 1. What is 29 of this number?

A: the 29 of this number is 12

How to calculate the simple method of 13 × 99 + 13

Ax & # 178; - 3ax-54a factorization, now, as soon as possible

Let's say a, and then the original expression becomes a (x2-3x-54), and then the cross can be multiplied in brackets to become a (X-9) (x + 6), OK