MAT 104 Pace University Elementary Operation Gauss Jordan and Matrix Questions MAT 104!4 Questions on elementary operation , Gauss-Jordan and MatrixHandwri

MAT 104 Pace University Elementary Operation Gauss Jordan and Matrix Questions MAT 104!4 Questions on elementary operation , Gauss-Jordan and MatrixHandwriting please !! 1.
Find the value of a such that (6,-1), (0, 2) and (3, a) lie on the same line.
2.
Sketch the graph of the linear equation: 3x – 6y = 18 . Label the axes and the coordinates
of the y-intercept and x-intercept if they exist.
3.
State and perform the next elementary row operation that should be performed to put the
matrix in diagonal form:
TO 4
0 0
11 2
91 8
45
4110)
4.
Fill in the missing numbers in the next step of the Gauss-Jordan Method:
[1 0
0 1
LO 6
37 1 0
-12-151-10 1
-31-18 LO 0
3 | 7
-12-15
? ?
5.
Solve for x, y, and z by using the Gauss-Jordan method on the appropriate matrix: (10
(x + y +z = 7
points)
(x – y – 3z = 1
6. When solving a system of linear equations with the unknowns x, y, z and w (if needed) using
the Gauss-Jordan elimination method, the following final matrix was obtained. Determine if
the system has a solution or solutions. If so, write the solution(s). (5 points each)
1
a. 0
LO
1
0
0
1171 [1
010], b. o
olo) LO
00147 (1 0 0131
0 06), c. Jo 1 0 9
0 114 LO O ilo]
d.
[
0
1
314)
LO
0110
Page 2 of 3
7.
Perform the indicated operation if possible: [ 1 21.
5
6|17
8.
Perform the indicated operation, if possible: 12
1 8].
9.
Perform the indicated operation, if possible: Co 9] + li2 )
10. Perform the indicated operation, if possible: [1 6]+[4]
11. The matrix
[ L 22
has no inverse when x has what value?
12. Compute the inverse of A =
[45 $), using the Gauss-Jordan Method. (10 points)
13. Let A =
A = 11
Solve A [] = [3], given A-1 =(- 31
14. List all the subsets of {a, e, i} that do not contain i.
15. At a certain university, 540 students are math or computer science majors. If 300 are
majoring in math and 120 are majoring in both, how many are not majoring in computer
science?

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