The transpose of α multiplied by β is not equal to 0. Let a = transpose of α multiplied by β - E and satisfy the equation a ^ 2-3a = 4E, then what is the transpose of α multiplied by β

The transpose of α multiplied by β is not equal to 0. Let a = transpose of α multiplied by β - E and satisfy the equation a ^ 2-3a = 4E, then what is the transpose of α multiplied by β

Because α ^ t β ≠ 0
So α β ^ t is not a zero matrix
From a ^ 2-3a = 4e
We get (a + e) (A-4E) = 0
So α β ^ t (α β ^ t-5e) = 0
So α β ^ t α β ^ T-5 α β ^ t = 0
So (β ^ t α - 5) α β ^ t = 0, so α ^ t β = β ^ t α = 5

How to find the least common multiple and the greatest common factor of 39 and 78

Because 39 * 2 = 78, the least common multiple of 39 and 78 is 78, and the greatest common factor of 39 and 78 is 39!

The least common multiple of 16 and 60, 39 and 78, 96 and 84, and the greatest common factor and least common multiple of 16 and 20, 23 and 92, 72 and 168 are obtained

You can use the integral division method. Until two numbers are coprime, then the product of all divisors is the greatest common divisor, and the least common multiple is all factors. Quotient multiplication 2 | 16 60 divided by 22 | 8 36 divided by 22 | 4 15 4 15 coprime can't except the least common multiple: 2 * 2 * 4 * 15 = 24039 | 39 78 divided by 391 2

Write the greatest common factor and the least common multiple
Write the greatest common factor:
（11,66）
（19,57）
（24,36）
（51,17）
Least common multiple:
(11,4)
(21,3)
(5,19)
(12,16)
(5,25)
(33,22)
(6,5,7)
(27,3,9)

Ask the master if he can do short division?
It's easy to do this problem with short division
You can ask the teacher when you go back
The answers are 11,19,12,17,44,21,95,48,25,66210,27