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Q#4-WK#-1-Matrices 01

Total questions: 20

Worksheet time: 58mins

Name
Class
Date
1.

An n x n matrix consisting of 1’s on its main diagonal and 0’s elsewhere is called ____.

Satu matriks n X n mengandungi 1 pada pepenjuru utama dan 0 bagi unsur yang lain-lain ialah __________.

a)

Identity matrix

Matriks Identiti

b)

Square matrix

Matriks Segi empat sama

c)

Inverse matrix

Matriks songsang

d)

Row matrix

Matriks baris

2.

Determine whether the given matrix are identity matrix. If it is not an identity matrix, give your reason.

Tentukan sama ada matriks yang diberi ialah matriks identiti. Jika bukan, berikan sebab anda.

a)

No, it is not a square matrix.

Bukan, ia bukan matriks segi empat sama.

b)

No, not all element in the matrix equal to 1.

Bukan, bukan semua unsur dalam matriks bernilai 1.

c)

No, not all element in the matrix equal to 0.

Bukan, bukan semua unsur dalam matriks bernilai 0.

d)

Yes / Ya

3.

Determine whether the given matrix are identity matrix. If it is not an identity matrix, give your reason.

Tentukan sama ada matriks yang diberi ialah matriks identiti. Jika bukan, berikan sebab anda.

a)

No, the elements along the main diagonal are not 0.

Bukan, unsur-unsur pada pepenjuru utama bukan 0.

b)

No, the elements along the main diagonal are not 1.

Bukan, unsur-unsur pada pepenjuru utama bukan 1.

c)

No, not all element equal to 1.

Bukan, bukan semua unsur bernilai 1.

d)

Yes / Ya

4.

Determine whether the given matrix are identity matrix. If it is not an identity matrix, give your reason.

Tentukan sama ada matriks yang diberi ialah matriks identiti. Jika bukan, berikan sebab anda.

a)

No, the elements along the main diagonal are not 0.

Bukan, unsur-unsur pada pepenjuru utama bukan 0.

b)

No, the elements along the main diagonal are not 1.

Bukan, unsur-unsur pada pepenjuru utama bukan 1.

c)

No, not all element equal to 1.

Bukan, bukan semua unsur bernilai 1.

d)

Yes / Ya

5.

Determine whether the given matrix are identity matrix. If it is not an identity matrix, give your reason.

Tentukan sama ada matriks yang diberi ialah matriks identiti. Jika bukan, berikan sebab anda.

a)

No, the elements along the main diagonal are not 0.

Bukan, unsur-unsur pada pepenjuru utama bukan 0.

b)

No, the elements along the main diagonal are not 1.

Bukan, unsur-unsur pada pepenjuru utama bukan 0.

c)

No, not all the element equal to 1.

Bukan, bukan semua unsur bernilai 1.

d)

Yes / Ya

6.
Identify
a)
singular matrix
b)
partial fraction
c)
coeffecient matrix
d)
inverse matrix
7.
What is the determinant of this matrix?
a)
5
b)
25
c)
-25
d)
1
8.
Does the following have an inverse? 
⌈6  4⌉
⌊3  2⌋
*Inverse=
                 ¹∕detA × ⌈d  −b⌉                                      ⌊−c  a⌋
a)
Yes, 
b)
No. 
9.
What is the inverse of this matrix?
a)
(1/25)  (-4/25)
(3/25)  (13/25)
b)
(1/5)  (-4/5)
(3/5)  (13/5)
c)
(6/25)  (-2/25)
(2/25)  (9/25)
d)
(1/150)  (-4/150)
(3/150)  (13/150)
10.

Given  AA and  BB  matrices B is the inverse of AB\ is\ the\ inverse\ of\ A  

What operation is True:

a)

A×B=Matriz IdentidadeA\times B=Matriz\ Identidade

b)

A+B=Matriz IdentidadeA+B=Matriz\ Identidade

c)

BA=Matriz IdentidadeB-A=Matriz\ Identidade

d)

B÷A=Matriz IdentidadeB\div A=Matriz\ Identidade

11.
What is the inverse of this matrix?
a)
(1/25)  (-4/25)
(3/25)  (13/25)
b)
(1/5)  (-4/5)
(3/5)  (13/5)
c)
(6/25)  (-2/25)
(2/25)  (9/25)
d)
(1/150)  (-4/150)
(3/150)  (13/150)
12.

Are these matrices inverses of each other?

a)

Yes

b)

No

c)

Unable to Determine

13.
Evaluate the determinant of the matrix.
a)
-21
b)
0
c)
9
d)
12
14.

What is A-1?

a)
b)
c)
d)
15.

Solve for x and y.

a)

x = -4 and y = 2

b)

x = -9\2 and y = 2

c)

x = 9/2 and y = -2

d)

x = -5 and y = 1

16.
Find A+B
a)
8     10
8      1 
b)
12     25
7     1
c)
10     30
0     1
d)
can't add two together because the rows dont match columns
17.
Find B-A
a)
-3     1
7     -1
b)
1     0
1     -4
c)
4       0
-6     0
d)
not possible because rows do not match columns
18.
a)

Dim(A)=2×3Dim\left(A\right)=2\times3

b)

Dim(A)=3×2Dim\left(A\right)=3\times2

19.

What is the formula for the determinant of a 2x2 matrix?

a)

ad-bc

b)

ab-cd

c)

ad+bc

d)

(a+d)(b+c)

20.

What size is this matrix?

a)

2x2

b)

2x3

c)

3x2

d)

1x6