Solution Found!
For each of the following matrices A, calculate det(A tI ). a. _ 1 5 2 4 _ b. _ 0 1 1 0
Chapter 5, Problem 5(choose chapter or problem)
For each of the following matrices A, calculate det(A - t I ).
a. \(\left[\begin{array}{ll} 1 & 5 \\ 2 & 4 \end{array}\right]\)
b. \(\left[\begin{array}{ll} 0 & 1 \\ 1 & 0 \end{array}\right]\)
c. \(\left[\begin{array}{rr} 0 & -1 \\ 1 & 0 \end{array}\right]\)
d. \(\left[\begin{array}{ll} 1 & 3 \\ 3 & 1 \end{array}\right]\)
e. \(\left[\begin{array}{rr} 1 & 1 \\ -1 & 3 \end{array}\right]\)
f. \(\left[\begin{array}{rrr} -1 & 1 & 2 \\ 1 & 2 & 1 \\ 2 & 1 & -1 \end{array}\right]\)
g. \(\left[\begin{array}{rrr} 1 & 0 & 0 \\ -2 & 1 & 2 \\ -2 & 0 & 3 \end{array}\right]\)
h. \(\left[\begin{array}{rrr} 3 & 2 & -2 \\ 2 & 2 & -1 \\ 2 & 1 & 0 \end{array}\right]\)
i. \(\left[\begin{array}{rrr} 1 & -1 & 4 \\ 3 & 2 & -1 \\ 2 & 1 & -1 \end{array}\right]\)
j. \(\left[\begin{array}{rrr} 1 & -6 & 4 \\ -2 & -4 & 5 \\ -2 & -6 & 7 \end{array}\right]\)
Questions & Answers
QUESTION:
For each of the following matrices A, calculate det(A - t I ).
a. \(\left[\begin{array}{ll} 1 & 5 \\ 2 & 4 \end{array}\right]\)
b. \(\left[\begin{array}{ll} 0 & 1 \\ 1 & 0 \end{array}\right]\)
c. \(\left[\begin{array}{rr} 0 & -1 \\ 1 & 0 \end{array}\right]\)
d. \(\left[\begin{array}{ll} 1 & 3 \\ 3 & 1 \end{array}\right]\)
e. \(\left[\begin{array}{rr} 1 & 1 \\ -1 & 3 \end{array}\right]\)
f. \(\left[\begin{array}{rrr} -1 & 1 & 2 \\ 1 & 2 & 1 \\ 2 & 1 & -1 \end{array}\right]\)
g. \(\left[\begin{array}{rrr} 1 & 0 & 0 \\ -2 & 1 & 2 \\ -2 & 0 & 3 \end{array}\right]\)
h. \(\left[\begin{array}{rrr} 3 & 2 & -2 \\ 2 & 2 & -1 \\ 2 & 1 & 0 \end{array}\right]\)
i. \(\left[\begin{array}{rrr} 1 & -1 & 4 \\ 3 & 2 & -1 \\ 2 & 1 & -1 \end{array}\right]\)
j. \(\left[\begin{array}{rrr} 1 & -6 & 4 \\ -2 & -4 & 5 \\ -2 & -6 & 7 \end{array}\right]\)
ANSWER:Problem 5
For each of the following matrices A, calculate
a.
b.
c.
d.
e.
f.
g.
h.
i.
j.
Step by Step Solution
Step 1 of 10
Given matrix is
Now,
Hence,