It is known that the eigenvalues of a 3-order square matrix are 2, - 1,0. Find the eigenvalues and B of the matrix B = 2A ^ 3-5a ^ 2 + 3E (knowledge of eigenvalues and eigenvectors of matrices)

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• 1. 2、 In the class committee election of a class, it is known that Kan Zhiqiang, Shang Lili and Wang Honghong are candidates for the class committee (1) If Kan Zhiqiang is elected, Wang Honghong will also be elected; (2) If Shang Lili is elected, Wang Honghong will not be elected; (3) If Wang Honghong is not elected, Kan Zhiqiang or Shang Lili can be elected Try to use the main disjunctive paradigm to find all the possibilities of three elected class committee be deeply grateful!
• 2. How to distinguish 201202304316 and other stainless steels
• 3. It is known that 5A + 4 and 3a-4 are the square roots of the same number. Try to find the value of A A is 0 absolutely true, but is a - 4 true?
• 4. Xiaogang is 1.5 times as old as Xiaoqiang, Xiaofang is 1.2 times as old as Xiaoqiang, Xiaogang is 3 years older than Xiaofang Equation answer
• 5. Solve the equation. (check the calculation with △ sign) 3x + 5x-4x = 1.6x-0.36x = 323.6x + 4.5X = 56.79x-0.4x = 25.8 △ 17.8x-12.4x = 1.08 △ 26.4x + 18x = 66.6
• 6. Solving the equation 4x ^ 2 + 8x + 4 = 9 (x-1)
• 7. The third, fifth and seventh product of the increasing equal proportion sequence is 512. The three terms are subtracted by 1, 3 and 9 to form the equal difference sequence. Let Sn = A1 ^ 2 + A2 ^ 2 + +An ^ 2, find SN
• 8. The length of AM is () A. 4.5cmB. 6.5cmC. 7.5cmD. 8cm
• 9. Let a and B be square matrices of order n and E be identity matrices of order n. It is proved that if a + B = AB, then A-E is invertible
• 10. For a tree, the degree of node is k at most (k > = 2), and it is proved that there are at least k leaves
• 11. Given the line AB = 60cm, draw the line BC on the line AB so that BC = 20cm, point D is the midpoint of AC, and find the length of CD
• 12. It is known that the product of the first three terms of the increasing equal ratio sequence {an} is 512, and the three terms are subtracted by 1, 3 and 9 to form the equal difference sequence. The general term formula of the sequence {an} is obtained
• 13. How to solve the equation 6.8x + 2.4x = 9.66 The equal sign should be aligned!
• 14. 18x-66=7x Is an equation. Find the formula
• 15. 8:7 plus 2x equals 13:5 (simple equation) simple and slightly complex equation! Quick, I just need an answer
• 16. The square roots of a positive number are 3x-5 and 8-6x. Find the value of X
• 17. What is the meaning of 316 stainless steel belt?
• 18. Let G be a simple connected graph with n nodes and N edges, and there are nodes with degree 3 in G. it is proved that there is at least one node with degree 1 in G
• 19. Example: R is a reflexive relation on the set X. it is proved that R is symmetric and transitive if and only if There is a difference between a, b > and in R Example: let R 1 and R 2 be two equivalence relations in set a, and R 1, R 2 = R 2, R 1, R 2 is also the equivalence relation on a Proof: 1) reflexivity (omitted) 2) Symmetry (omitted) 3) Transitivity: If, then And, so, so And then by and by transmission, we get, Again by knowing, so, so, again by and is transmitted, get, and so Example: let R be a reflexive transitive binary relation on set a, and let t also be a binary relation on set a, and satisfy the following conditions: . prove: t is the equivalent relation on a
• 20. After the elementary transformation of matrix, is the original matrix equal to the transformed matrix? Why are they equal? Take R1 * 999 1 0 0 0 0 5 2 8 0 2 3 4 So a11 is 999,