1 3 3 18. The inverse of the matrix A=|1 4 3 is 1 3 4 7 -3 -3 A' = -1 1 What is the solution of -1 1 x+3y+3z=14 the system of equations x+4y+3z=16? x+3y+4z =17 3 A. y = 2 -1 y = -3 С. y = 3 D. y = 2 -3 19. Let AX = B be a system of linear equations where A is a 3x3. Suppose det A = 3, det A =6 , det A, =-12 and det A¸ = 2° then the solution set using Cramer's rule is: A. x=3, y=2 , z = 0 B. x= 2, y=-4, z=9 C. x= 3, y=-15, z = 24 D. x=, y=-, z =; B. C.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Related questions
Question
1 3
2(0
20. Given that
4
then the
3
18. The inverse of the matrix A=1 4 3 is
3 x -3
-6 -2
1 3 4
value of x is:
А. —9
В. -4
С. -3
7
-3 -3
1
What is the solution of
-1
1
D. -2
x+3y+3z =14
the system of equations x+4y+3z=16?
x+3y+4z =17
21. If matrix A is a 2x3matrix, it can be multiplied
by matrix B to obtain AB only if matrix B has:
А. 2 rows
3
B. 2 columns
A.
C. 3 rows
-1
D. 3 columns
В.
2
22. When the inverse of a matrix is multiplied by
the original matrix, it produces the :
A. matrix of cofactors
C.
B. adjoint of the matrix
C. transpose of the matrix
D. identity matrix
3
D.
-3
23. The cofactor for the first elemet in the
coefficient matrix for this system
2.x+3y+3z = 2
19. Let AX =B be a system of linear equations
where A is a3x3. Suppose
4х-3у-62 %3D 2 is:
10х-6у+32 %3D0
det A = 3, det A, = 6 , det A, = -12 and det A, = 27
|3D
А. — 45
then the solution set using Cramer's rule is:
A. x=3, y=2, z = 0
B. x= 2, y=-4 , z=9
В. — 27
С. 27
C. x= 3, y=-15, z= 24
D. 45
D. x=, y=-, z = ;
5
N
Transcribed Image Text:1 3 2(0 20. Given that 4 then the 3 18. The inverse of the matrix A=1 4 3 is 3 x -3 -6 -2 1 3 4 value of x is: А. —9 В. -4 С. -3 7 -3 -3 1 What is the solution of -1 1 D. -2 x+3y+3z =14 the system of equations x+4y+3z=16? x+3y+4z =17 21. If matrix A is a 2x3matrix, it can be multiplied by matrix B to obtain AB only if matrix B has: А. 2 rows 3 B. 2 columns A. C. 3 rows -1 D. 3 columns В. 2 22. When the inverse of a matrix is multiplied by the original matrix, it produces the : A. matrix of cofactors C. B. adjoint of the matrix C. transpose of the matrix D. identity matrix 3 D. -3 23. The cofactor for the first elemet in the coefficient matrix for this system 2.x+3y+3z = 2 19. Let AX =B be a system of linear equations where A is a3x3. Suppose 4х-3у-62 %3D 2 is: 10х-6у+32 %3D0 det A = 3, det A, = 6 , det A, = -12 and det A, = 27 |3D А. — 45 then the solution set using Cramer's rule is: A. x=3, y=2, z = 0 B. x= 2, y=-4 , z=9 В. — 27 С. 27 C. x= 3, y=-15, z= 24 D. 45 D. x=, y=-, z = ; 5 N
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