Given that x = 12 is the solution of the equation 5A + 12x = 12 + X, find the solution of the equation AX + 2 = a-2ax

Given that x = 12 is the solution of the equation 5A + 12x = 12 + X, find the solution of the equation AX + 2 = a-2ax


Substituting x = 12 into the known equation, we can get 5A + 6 = 1, the solution is a = - 1, substituting x = 12 into the equation, we can get: - x + 2 = - 1 + 2x, shifting and merging terms, we can get 3x = 3, the solution is x = 1



Given that x = 12 is the solution of the equation 5A + 12x = 12 + X, find the solution of the equation AX + 2 = a (1-2x) about X


X = 12 is the solution of the equation 5A + 12x = 12 + X. & nbsp; & nbsp; substituting the value of X into 5A + 6 = 1, a = - 1, substituting a = - 1 into ax + 2 = a (1-2x) to get: - x + 2 = - (1-2x), simplifying to get: 2-x = 2x-1, the solution is: x = 1



Take four points e, F, G and h on the edges AB, BC, CD and Da of the space quadrilateral ABCD. If EF and Hg intersect at point m, then
A m must be on AC B M must be on BD C M may be on AC or BD
Why can't a be on BD
Space quadrilateral ABCD does not say which side is folded, if BD is broken line


E. Two points f are in the plane of triangle ABC, two points g and H are in the plane of triangle ADC, and M is the intersection of EF and GH. It is in both ABC plane and ADC plane, that is, on the intersection line of these two planes. This intersection line is AC and its extension line. Correctly speaking, it should be m in AC and its extension line



Fill in the appropriate operation symbols and brackets between the five 5S to make the following equation true
5 5 5 5 5=1 5 5 5 5 5=2 5 5 5 5 5=3


5 /5+( 5- 5) 5=1 (5+ 5)/ 5+ 5- 5=2 (5 +5)/ 5 +5/ 5=3



How to prove that the sum of matrix eigenvalues is equal to the trace of matrix


Do you know the characteristic polynomial of a matrix? The one of xe-a, which expands the determinant, is a polynomial of degree n. It can be obtained from the root relation. The sum of the eigenvalues is equal to the sum of the roots of the polynomial, that is, the coefficient of the nth-1st term, which is a11 + A22 + '+ Ann
In short, you expand that determinant and compare the coefficients



If you know the sum of each digit of a four digit number and add it to the four digit number, it is equal to 1995, and you can find the four digit number


Since the maximum sum of the four digit numbers is 36, the minimum sum is 1, and the sum of the four digit numbers and the four digit number add up to 1995, the four digit number must be between 1959 and 1994



Is a matrix similar to its diagonal matrix? Are the determinants of similar matrices equal?


1. Not necessarily, it depends on whether the number of eigenvectors is equal to the order of the matrix, which corresponds to Jordan matrix, not diagonal matrix
2. The determinants of similar matrices are equal, because the product of the determinants of matrices is equal to the determinant of the product of matrices



Is the following formula correct? If not, how to correct it? Change the formula x = a − bab (1 + ax ≠ 0) to a known x, a, and find B. the solution: from x = a − bab, we get x = 1b − 1a, | x + 1A = 1b, that is, B = a + 1x


No, the correct solution is: x = a − bab, sorted out: x = 1b-1a, | x + 1A = 1b, the solution is: B = 1x + 1A = AAX + 1



In △ ABC, if acosa = bcosb, then the shape of △ ABC is ()
A. Isosceles triangle B. right triangle C. isosceles right triangle D. isosceles or right triangle


By using the sine theorem Asina = bsinb to simplify the known equation, it is obtained that: sinacosa = sinbcosb, ∧ 12sin2a = 12sin2b, ∧ sin2a = sin2b, and a and B are the internal angles of a triangle, ∧ 2A = 2B or 2A + 2B = π, that is, a = B or a + B = π 2, then △ ABC is an isosceles or right angle triangle



Wang Ping read a 240 page story book. On the first day, he read 16 pages of the book, and on the second day, he read 38 pages of the book?


240 × (16 + 38) + 1 = 240 × 1324 + 1, = 130 + 1, = 131 (page)