![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
Determinant calculation | x + A1 A2 A3 an| |x x+a2 a3 …… an| …… |a1 a2 a3 …… x+an|
This irregularity:
x+a1 a2 a3 .an
x x+a2 a3 .an
.
a1 a2 a3 .x+an
Either (1,2) position is A1, or (n, 1) position is X
I can't contact you (anonymous), if you have any questions, please contact me or ask me!
Given (3x-1) 7 = a7x7 + a6x6 + a5x5 + a4x4 + a3x3 + a2x2 + a1x + A0, find the value of A7 + A6 + A5 + A4 + a3 + A2 + a1x + A0
The 7th power of (3x minus 1) is equal to the 7th power of a7x plus the 6th power of a6x plus the 5th power of a5x plus the 4th power of a4x plus the 3rd power of a3x plus the 2nd power of a2x plus a1x plus A0. Find the value of A7 + A6 + A5 + A4 + A3 + A2 + A1 + A0
Any power of 1 is equal to 1, so the value of A7 + A6 + A5 + A4 + a3 + A2 + a1x + A0 is required
(3x-1) ^ 7 = the X in A7 * x ^ 7 + A6 * x ^ 6 + A5 * x ^ 5 + A4 * x ^ 4 + a3 * x ^ 3 + A2 * x ^ 2 + A1 * x + A0 is equal to 1, that is:
(3*1-1)^7
=a7*1^7+a6*1^6+a5*1^5 +a4*1^4 +a3*1^3+a2*1^2+a1*1+a0
=a7+a6+a5 +a4 +a3+a2+a1x+a0
=2^7
=128
(X & sup2; - x + 1) 4 = A0 + a1x + a2x2 + a3x3 + a4x4 + a5x5 + a6x6 + a7x7 + X8, then A0 + A1 + A2 + a3 + A4 + A5 + A6 + A7 + A8 =?
Let x = 1
Then any power of X is 1
So the right side = A0 + A1 + A2 + a3 + A4 + A5 + A6 + A7 + A8
=(1²-1+1)4
=1
In the sequence {an}, the adjacent two terms an and a (n + 1) are two parts of the corresponding quadratic equation x ^ 2 + 3nx + BX = 0
Two adjacent terms in sequence {an} an.an +1 is two of the equation x ^ 2 + 3nx + BN = 0. If A1 = 2, try to find the value of B100
(an)+(an+1)=-3n (an+1)+(an+2)=-3n-3
We get (an + 2) - (an) = - 3
Because A1 = 2, A101 = 2 + 50 * (- 3) = - 148
Because A2 = - 5, A100 = - 5 + 49 * (- 3) = - 152
B100 = A100 * A101 = 22496
Merlin's? Sophomore's?
RELATED INFORMATIONS
- 1. In the sequence {an}, two adjacent terms an and an + 1 are the corresponding quadratic equations Two adjacent terms in sequence {an} an.an +1 is two of the equation x ^ 2 + 3nx + BN = 0. If A1 = 2, try to find the value of B100
- 2. In the sequence {an}, it is known that A1 = 0, A2 = 6, and for any positive integer n, there is a (n + 2) = 5A (n + 1) - 6A (n) (1) Let BN = a (n + 1) - 2An, find the general term formula of BN (2) General term formula for an
- 3. Let n-order non pinchable matrix A and n-dimensional column vector α satisfy R {(first row) a α (second row) α t (transpose) 0} = R (a), then the equations AX = α must have infinite solutions Why?
- 4. Proof: if n-dimensional real vector p is orthogonal to any n-dimensional real vector, then p must be a zero vector
- 5. Let a be a real symmetric matrix and IAI ＜ 0, it is proved that there exists a non-zero n-dimensional column vector x, such that the transpose ax of X
- 6. Let X and y be n-dimensional column vectors, and x ^ t * y = 1, matrix A = e + X * y ^ t, then a is an invertible matrix, and find a ^ - 1
- 7. Let a be an n-order square matrix, ξ be an n-dimensional sequence vector, a & # 178; ξ ≠ 0, a & # 179; ξ = 0, and prove that ξ, a ξ, a & # 178; ξ are linearly independent Linear algebra
- 8. On whether n + 1 n-dimensional vectors are linearly related For example, is a = (1,1,1) B = (1,2,3) C = (4,5,6) d = (7,8,9) ABCD necessarily related?
- 9. Why is the rank of n-dimensional unit column vector 1?
- 10. Let a and B be n-dimensional nonzero column vectors, and a = 2e (n-dimensional) - ABT (transpose vector of B) If the square of a = a + 2E, what is the transpose vector of a multiplied by B
- 11. If the sequence A1, A2, A3 and A4 are proportional and A1A2 = - 323, a2a3 = - 24, then q = 0___ ．
- 12. Given that line AB = ACM, point A1 bisects AB, A2 bisects a A1, A3 bisects a A2,..., an bisects a an-1, then a an = how many cm? Please draw a sketch. It's not convenient for me to send the picture
- 13. Let A1, A2, A3 ··· an be an arrangement of 1,2,3 ··· n, and n be an odd number, then (A1-1) (A2-2) (A3-3) ··· (an-n) is an odd number Even? Why
- 14. It is known that the nth power of (1 + x) + (1 + x) +. + (1 + x) = A0 + A1 + A2 +... + an. If A0 + A1 + A2 +... + an. = 30, what is the natural number n?
- 15. [high school physics] the maximum speed of a car with rated power of 80kW on a straight road is 20m / s, and its mass m = 2 × 10 ^ 3kg If the car starts to make uniform acceleration linear motion from static, the acceleration is 2m / S ^ 2 (1) Constant resistance of a car (2) Instantaneous power of automobile at the end of 3S (3) How long does it take for the car to reach its rated power?
- 16. A line with length of L = 100m and speed of V1 = 3, the correspondent arrived at the head of the line at the speed of V2 = 5m / s from the end of the line, And immediately return to the end of the team with speed v2?
- 17. It is known that 1mol of metal a, 1mol of metal B and 1mol of metal C reacts with enough dilute sulfuric acid to produce 0.5mol of chlorine gas, and the molar ratio of hydrogen is 1:2:3
- 18. 1 mol of metal in a, B and C is reacted with Zhu Liang's dilute sulfuric acid, and the ratio of the amount of material producing hydrogen is 1:2:3 Generate 0.5mol hydrogen to calculate the valence of three metals
- 19. For strong and weak acids with the same amount of substance, how can pH judge strong and weak acids with the same concentration, and how can pH judge strong and weak acids with the same pH
- 20. A certain alcohol mg reacts with a sufficient amount of sodium metal, and the ratio of hydrogen to alcohol is 1:1