Matrix A = α ^ t α - I, B = 2 α ^ t α + I, where I is the unit matrix of order n, then what is ab equal to

Matrix A = α ^ t α - I, B = 2 α ^ t α + I, where I is the unit matrix of order n, then what is ab equal to

If α is an n-dimensional implementation vector, then α′ = | α|, # 178;
AB＝﹙α'α-I﹚﹙2α'α+I﹚＝2|α|²α'α-α'α-I＝﹙2|α|²-1﹚α'α-I

Simple calculation of invertible matrix and identity matrix
Let n-order square matrix a satisfy a ^ 2 + A + 2E = 0, then a ^ - 1=
A ^ 2 is the square of a, and a ^ - 1 is the inverse matrix of A. if the process input is troublesome, please explain the solution

This kind of problem has nothing to say. We can treat a as a number a temporarily. Of course, it's not really regarded as a number. We just use the properties of numbers to deduce the properties of matrices. If a ^ 2 + A + 2 = 0, then a (a + 1) = - 2, a ^ (- 1) = (a + 1) / (- 2)

In the operation of matrix, must the inverse operation be the identity matrix

A square matrix is invertible if and only if its determinant is not equal to 0
The theoretical proof comes from AA * = a * a = | a | E

Calculate the matrix of 2 * 2, let a be the complex matrix of 2 * 2, and let a ^ 2 = the unit matrix of order I 2
This is a mathematics elective course assignment, as long as the answer is OK,

C
C(:,:,1) =
[ 1,0]
[ 0,1]
C(:,:,2) =
[ -1,0]
[ 0,-1]
C(:,:,3) =
[ 1,0]
[ c,-1]
C(:,:,4) =
[ -1,0]
[ c,1]
C(:,:,5) =
[ -d,b]
[ -(-1+d^2)/b,d]
That is to say, there are five solutions to a
1.E
2.-E
(C can be plural)
[ 1,0]
[ c,-1]
4. Or
[ -1,0]
[ c,1]
D, B can be plural
[ -d,b]
[ -(-1+d^2)/b,d]

log2(2^x-1)log2(2^(x+2)-4=3
log2(2^x-1)log2(2^(x+2)-4）=3

Let t = log2 (2 ^ x-1), then log2 (2 ^ (x + 2) - 4) = 2 + T, the original formula = t * (2 + T) = 3T = - 3ort = 1log2 (2 ^ x-1) = - 32 ^ X-1 = 1 / 82 ^ x = 9 / 8x = 2log2 (3) - 3log2 (2 ^ x-1) = 12 ^ X-1 = 22 ^ x = 3x = log2 (3) to sum up, x = 2log2 (3) - 3 or x = log2 (3)

4 / 19 × 37 - 4 / 19 ／ 1 / 37 simple operation!

4 / 19 × 37 - 4 / 19 △ 1 / 37
=4 / 19 × 37 - 4 / 19 × 37
=0

If the product of 17 times a is even, then a is () A. odd B. even C. cannot be determined

Odd times odd = odd
Odd times even = even
So a is even

1. The law of - 2,4, - 8,16, - 32

The number of even numbers is positive, the number of odd numbers is negative, and the number is twice of the previous number

How many hours and minutes is 2 and 5 / 12

2:5 of 12 = 2:5 + 5 / 12 × 60 = 2:25
So 2:25 is equal to 5:12

(- 3 to the power of 2) * 2 + (- 3) divided by (- 1 / 3) - | - 2 | * (- 1) to the power of 2012

(- 3 to the power of 2) * 2 + (- 3) divided by (- 1 / 3) - | - 2 | * (- 1) to the power of 2012
=-9*2+9*（-3）-2*1
=-18-27-2
=-47