2)² + 2x + 24-1 3 +1 ²+12x 45-211-12-13 Question 1 +7x+21 SECTION A Answer All Questions (a) Use Cramer's rule to solve the system 3x+2y 2z 16 +3x J 2 -3 0 4x+3y+3z 2 2x-y+2=0. (b) The 7th term of an arithmetic progression is 22 and the 12th term is 37. Find the sum of the first 20 terms. [15] [10] Question 2 7x3+1 3n+1 bnte = 22 For the matrix 67+c=7 -2 2 -3] det (A-XI)=-2-2-3 A = 2 1 3-8-12 -6 1-2 0 (a) Find the eigenvalues of A. (b) Find the eigenvectors corresponding to the eigenvalue with multiplicity 2. 500 3nx 2 12 21 24 27 36 9 12 30 33 36 39 47 45 485154 57 60 -1-2-7 [20] [5]
2)² + 2x + 24-1 3 +1 ²+12x 45-211-12-13 Question 1 +7x+21 SECTION A Answer All Questions (a) Use Cramer's rule to solve the system 3x+2y 2z 16 +3x J 2 -3 0 4x+3y+3z 2 2x-y+2=0. (b) The 7th term of an arithmetic progression is 22 and the 12th term is 37. Find the sum of the first 20 terms. [15] [10] Question 2 7x3+1 3n+1 bnte = 22 For the matrix 67+c=7 -2 2 -3] det (A-XI)=-2-2-3 A = 2 1 3-8-12 -6 1-2 0 (a) Find the eigenvalues of A. (b) Find the eigenvectors corresponding to the eigenvalue with multiplicity 2. 500 3nx 2 12 21 24 27 36 9 12 30 33 36 39 47 45 485154 57 60 -1-2-7 [20] [5]
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 18E
Related questions
Question
![2)² + 2x + 24-1 3 +1 ²+12x
45-211-12-13
Question 1
+7x+21
SECTION A
Answer All Questions
(a) Use Cramer's rule to solve the system
3x+2y 2z 16
+3x
J
2
-3
0
4x+3y+3z
2
2x-y+2=0.
(b) The 7th term of an arithmetic progression is
22 and the 12th term is 37. Find the sum of
the first 20 terms.
[15]
[10]
Question 2
7x3+1
3n+1
bnte = 22
For the matrix
67+c=7
-2 2
-3]
det (A-XI)=-2-2-3
A =
2
1
3-8-12
-6
1-2 0
(a) Find the eigenvalues of A.
(b) Find the eigenvectors corresponding to the
eigenvalue with multiplicity 2.
500
3nx
2
12 21 24 27
36
9
12
30
33 36 39 47
45
485154
57
60
-1-2-7
[20]
[5]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2006393e-c97e-4081-8173-0190425f3dd9%2Fd2323f45-eca9-486d-b420-59782385e4c6%2Fyp1na9h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2)² + 2x + 24-1 3 +1 ²+12x
45-211-12-13
Question 1
+7x+21
SECTION A
Answer All Questions
(a) Use Cramer's rule to solve the system
3x+2y 2z 16
+3x
J
2
-3
0
4x+3y+3z
2
2x-y+2=0.
(b) The 7th term of an arithmetic progression is
22 and the 12th term is 37. Find the sum of
the first 20 terms.
[15]
[10]
Question 2
7x3+1
3n+1
bnte = 22
For the matrix
67+c=7
-2 2
-3]
det (A-XI)=-2-2-3
A =
2
1
3-8-12
-6
1-2 0
(a) Find the eigenvalues of A.
(b) Find the eigenvectors corresponding to the
eigenvalue with multiplicity 2.
500
3nx
2
12 21 24 27
36
9
12
30
33 36 39 47
45
485154
57
60
-1-2-7
[20]
[5]
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