Matrix | Tensor Analysis Answers

for what value of x does this system has non-trivial solution,x-y+2z=0,2x+y+z=0,2x+y+2z=0

Question: Matrix has a value. (a). Always true (b). false (c). depends on matrix (d). None of these

1 A ??... is a rectangular array of numbers that are enclosed within a bracket .
horizontal
set
vertical
matrix
2 Given a matrix 2 1 1 0 list the numbers of the first row .
[1,0]
[0,1]
[2,1]
[1,1]
3 Given a matrix 1 4 -3 3 0 1 4 -1 2 list the numbers of the first row .
[4 0 -1]
[1 3 4]
[3 0 1]
[4 0 2]
4 When the numbers of rows is equal to the numbers of columns equal to 'n'. Where m=n. Then is called?..
a square matrix
a column
a row
a matrix
5 What is this matrix called : 0 0 0 0
diagonal matrix
proper matrix
zero matrix
square matrix
6 Consider a 3x3 square matrix given as 2 0 0 0 2 0 0 0 1 . What is the element in a22
2
0
1
0,0
7 What is another name given to an identity matrix
unit matrix
diagonal matrix
special matrix
triangular matrix
8 Let A be a nxn square matrix . A is a symmetric matrix if A equal to ??.
AT
B
C
4BT
9 Solve the following : a+b+37 = 6, 2a+2b-32 = 9, a+2b-62= -4 .
12,-7,31
12,7,-7
10,5,9
7,-5,21
10 How is the determinant of A written
|A|
[A]
{A}
A

1 A ……... is a rectangular array of numbers that are enclosed within a bracket .
(A) horizontal
(B) set
(C) vertical
(D) matrix

2 Given a matrix 2 1 1 0 list the numbers of the first row .
(A) [1,0]
(B) [0,1]
(C) [2,1]
(D) [1,1]

3 Given a matrix 1 4 −3 3 0 1 4 −1 2 list the numbers of the first row .
(A) [4 0 -1]
(B) [1 3 4]
(C) [3 0 1]
(D) [4 0 2]

4 When the numbers of rows is equal to the numbers of columns equal to 'n'. Where m=n.Then is called…..
(A) a square matrix
(B) a column
(C) a row
(D) a matrix


5 Consider a 3x3 square matrix given as 2 0 0 0 2 0 0 0 1 . What is the element in a22
(A) 2
(B) 0
(C) 1
(D) 0,0

6 Let A be a nxn square matrix . A is a symmetric matrix if A equal to …
(A) AT
(B) B
(C) C
(D) 4BT

7 Solve the following : a+b+37 = 6, 2a+2b-32 = 9, a+2b-62= -4.
(A) 12,-7,31
(B)12,7,-7
(C)10,5,9
(D)7,-5,21

8 How is the determinant of A written
(A) |A|
(B) [A]
(C) {A}
(D) A

The following system of equations has a unique solution.


x−5y−9z=−21


−2x+5y−2z=−33


3x−4y+5z=42


You will solve this system using the method of Gauss-Jordan elimination.


Note, you CANNOT interchange rows of the matrix at any step.


Please follow exactly the instructions provided

if B is skew symmetric matrix,write whether (AB'A) is skew symmetric or symmetric matrix.