Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
Please answer correctly
![SX1 + hx2
= 2
6. Find the conditions on h and k such that the system
is
(3x1 + 2x2 = k
inconsistent:
7. If the eigenvalues of a 3×3 matrix A are 1,2,4, then det(24)=
and
det(|4"|4² )=
8. If A is 6×7 and dim Nul A=4, then Rank A=
9. If the entries of a 4x4 determinant D in row 4 are 1,2,3,4 and the
corresponding minors are 1,1,2,2, respectively, then D=
10. If a non-zero vector p is in Nul A, then the eigenvalue of A
corresponding to p is
11. If the coordinate vector of w in R? relative to (1,-1)" and (2,1)" is (1,2)",
then w=
12. Find A-l=
for A satisfying A² – 2A–21 = O.
1
13. Two matrices
G and 2 2
1
-3
are similar for x=
-3 2
14. Suppose u = (1, –1, 1)' and A is a 3×3 orthogonal matrix, then a unit
vector with the same direction as u is
and the length of Au is
15. For x=
the vector u=(1,1,-2)' is orthogonal to v=(2,x,1)".](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4f53575-53b6-419e-b9fc-fdcff9e94fcc%2Fd9f7c51a-df84-4026-b998-31860814c5f8%2Fy4r6or_processed.jpeg&w=3840&q=75)
Transcribed Image Text:SX1 + hx2
= 2
6. Find the conditions on h and k such that the system
is
(3x1 + 2x2 = k
inconsistent:
7. If the eigenvalues of a 3×3 matrix A are 1,2,4, then det(24)=
and
det(|4"|4² )=
8. If A is 6×7 and dim Nul A=4, then Rank A=
9. If the entries of a 4x4 determinant D in row 4 are 1,2,3,4 and the
corresponding minors are 1,1,2,2, respectively, then D=
10. If a non-zero vector p is in Nul A, then the eigenvalue of A
corresponding to p is
11. If the coordinate vector of w in R? relative to (1,-1)" and (2,1)" is (1,2)",
then w=
12. Find A-l=
for A satisfying A² – 2A–21 = O.
1
13. Two matrices
G and 2 2
1
-3
are similar for x=
-3 2
14. Suppose u = (1, –1, 1)' and A is a 3×3 orthogonal matrix, then a unit
vector with the same direction as u is
and the length of Au is
15. For x=
the vector u=(1,1,-2)' is orthogonal to v=(2,x,1)".
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