Scroll:matrices >> find the value 2 row 3 col >> ps (4145)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.


 

1)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
54
 		B= 
55
08
 		and c = 
2-2
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




2)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
47
 		B= 
66
08
 		and c = 
1-1
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




3)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
26
 		B= 
66
05
 		and c = 
3-1
34
 		 

 (A+B)C =

 
 
 






Answer:_______________




4)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
24
 		B= 
56
08
 		and c = 
3-2
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




5)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
43
 		B= 
66
06
 		and c = 
4-1
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




6)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
54
 		B= 
64
06
 		and c = 
1-1
33
 		 

 (A+B)C =

 
 
 






Answer:_______________




7)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
26
 		B= 
67
06
 		and c = 
4-1
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




8)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
54
 		B= 
55
05
 		and c = 
4-1
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




9)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
54
 		B= 
65
06
 		and c = 
2-1
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




10)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
53
 		B= 
54
06
 		and c = 
2-1
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




 

1)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
54
 		B= 
55
08
 		and c = 
2-2
23
 		 

 (A+B)C =

 
Answer: 32 Answer: 8
Answer: 34 Answer: 26
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
54
 		B= 
55
08
 		and c = 
2-2
23
 

T0 find (A+B) C

A + B =
33
54
+
55
08
=
88
512
(A+B) C =
88
512
 
2-2
23
 		= 
16+16-16+24
10+24-10+36
 		= 
328
3426
 		...(1)

To find AC+ BC

 

AC =
33
54
 
2-2
23
 		= 
6+6-6+9
10+8-10+12
 		= 
123
182
 

 

BC =
55
08
 
2-2
23
 		= 
10+10-10+15
0+160+24
 		= 
205
1624
 
AC+BC 
123
182
 		+ 
205
1624
 		= 
328
3426
 		....(2)

From (1) and We get (A+B)C = AC + BC

 



2)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
47
 		B= 
66
08
 		and c = 
1-1
54
 		 

 (A+B)C =

 
Answer: 54 Answer: 27
Answer: 79 Answer: 56
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
47
 		B= 
66
08
 		and c = 
1-1
54
 

T0 find (A+B) C

A + B =
33
47
+
66
08
=
99
415
(A+B) C =
99
415
 
1-1
54
 		= 
9+45-9+36
4+75-4+60
 		= 
5427
7956
 		...(1)

To find AC+ BC

 

AC =
33
47
 
1-1
54
 		= 
3+15-3+12
4+35-4+28
 		= 
189
3924
 

 

BC =
66
08
 
1-1
54
 		= 
6+30-6+24
0+400+32
 		= 
3618
4032
 
AC+BC 
189
3924
 		+ 
3618
4032
 		= 
5427
7956
 		....(2)

From (1) and We get (A+B)C = AC + BC

 



3)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
26
 		B= 
66
05
 		and c = 
3-1
34
 		 

 (A+B)C =

 
Answer: 54 Answer: 27
Answer: 39 Answer: 42
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
26
 		B= 
66
05
 		and c = 
3-1
34
 

T0 find (A+B) C

A + B =
33
26
+
66
05
=
99
211
(A+B) C =
99
211
 
3-1
34
 		= 
27+27-9+36
6+33-2+44
 		= 
5427
3942
 		...(1)

To find AC+ BC

 

AC =
33
26
 
3-1
34
 		= 
9+9-3+12
6+18-2+24
 		= 
189
2422
 

 

BC =
66
05
 
3-1
34
 		= 
18+18-6+24
0+150+20
 		= 
3618
1520
 
AC+BC 
189
2422
 		+ 
3618
1520
 		= 
5427
3942
 		....(2)

From (1) and We get (A+B)C = AC + BC

 



4)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
24
 		B= 
56
08
 		and c = 
3-2
43
 		 

 (A+B)C =

 
Answer: 60 Answer: 11
Answer: 54 Answer: 32
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
24
 		B= 
56
08
 		and c = 
3-2
43
 

T0 find (A+B) C

A + B =
33
24
+
56
08
=
89
212
(A+B) C =
89
212
 
3-2
43
 		= 
24+36-16+27
6+48-4+36
 		= 
6011
5432
 		...(1)

To find AC+ BC

 

AC =
33
24
 
3-2
43
 		= 
9+12-6+9
6+16-4+12
 		= 
213
228
 

 

BC =
56
08
 
3-2
43
 		= 
15+24-10+18
0+320+24
 		= 
398
3224
 
AC+BC 
213
228
 		+ 
398
3224
 		= 
6011
5432
 		....(2)

From (1) and We get (A+B)C = AC + BC

 



5)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
43
 		B= 
66
06
 		and c = 
4-1
43
 		 

 (A+B)C =

 
Answer: 72 Answer: 18
Answer: 52 Answer: 23
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
43
 		B= 
66
06
 		and c = 
4-1
43
 

T0 find (A+B) C

A + B =
33
43
+
66
06
=
99
49
(A+B) C =
99
49
 
4-1
43
 		= 
36+36-9+27
16+36-4+27
 		= 
7218
5223
 		...(1)

To find AC+ BC

 

AC =
33
43
 
4-1
43
 		= 
12+12-3+9
16+12-4+9
 		= 
246
285
 

 

BC =
66
06
 
4-1
43
 		= 
24+24-6+18
0+240+18
 		= 
4812
2418
 
AC+BC 
246
285
 		+ 
4812
2418
 		= 
7218
5223
 		....(2)

From (1) and We get (A+B)C = AC + BC

 



6)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
54
 		B= 
64
06
 		and c = 
1-1
33
 		 

 (A+B)C =

 
Answer: 30 Answer: 12
Answer: 35 Answer: 25
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
54
 		B= 
64
06
 		and c = 
1-1
33
 

T0 find (A+B) C

A + B =
33
54
+
64
06
=
97
510
(A+B) C =
97
510
 
1-1
33
 		= 
9+21-9+21
5+30-5+30
 		= 
3012
3525
 		...(1)

To find AC+ BC

 

AC =
33
54
 
1-1
33
 		= 
3+9-3+9
5+12-5+12
 		= 
126
177
 

 

BC =
64
06
 
1-1
33
 		= 
6+12-6+12
0+180+18
 		= 
186
1818
 
AC+BC 
126
177
 		+ 
186
1818
 		= 
3012
3525
 		....(2)

From (1) and We get (A+B)C = AC + BC

 



7)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
26
 		B= 
67
06
 		and c = 
4-1
43
 		 

 (A+B)C =

 
Answer: 76 Answer: 21
Answer: 56 Answer: 34
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
26
 		B= 
67
06
 		and c = 
4-1
43
 

T0 find (A+B) C

A + B =
33
26
+
67
06
=
910
212
(A+B) C =
910
212
 
4-1
43
 		= 
36+40-9+30
8+48-2+36
 		= 
7621
5634
 		...(1)

To find AC+ BC

 

AC =
33
26
 
4-1
43
 		= 
12+12-3+9
8+24-2+18
 		= 
246
3216
 

 

BC =
67
06
 
4-1
43
 		= 
24+28-6+21
0+240+18
 		= 
5215
2418
 
AC+BC 
246
3216
 		+ 
5215
2418
 		= 
7621
5634
 		....(2)

From (1) and We get (A+B)C = AC + BC

 



8)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
54
 		B= 
55
05
 		and c = 
4-1
23
 		 

 (A+B)C =

 
Answer: 48 Answer: 16
Answer: 38 Answer: 22
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
54
 		B= 
55
05
 		and c = 
4-1
23
 

T0 find (A+B) C

A + B =
33
54
+
55
05
=
88
59
(A+B) C =
88
59
 
4-1
23
 		= 
32+16-8+24
20+18-5+27
 		= 
4816
3822
 		...(1)

To find AC+ BC

 

AC =
33
54
 
4-1
23
 		= 
12+6-3+9
20+8-5+12
 		= 
186
287
 

 

BC =
55
05
 
4-1
23
 		= 
20+10-5+15
0+100+15
 		= 
3010
1015
 
AC+BC 
186
287
 		+ 
3010
1015
 		= 
4816
3822
 		....(2)

From (1) and We get (A+B)C = AC + BC

 



9)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
54
 		B= 
65
06
 		and c = 
2-1
44
 		 

 (A+B)C =

 
Answer: 50 Answer: 23
Answer: 50 Answer: 35
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
54
 		B= 
65
06
 		and c = 
2-1
44
 

T0 find (A+B) C

A + B =
33
54
+
65
06
=
98
510
(A+B) C =
98
510
 
2-1
44
 		= 
18+32-9+32
10+40-5+40
 		= 
5023
5035
 		...(1)

To find AC+ BC

 

AC =
33
54
 
2-1
44
 		= 
6+12-3+12
10+16-5+16
 		= 
189
2611
 

 

BC =
65
06
 
2-1
44
 		= 
12+20-6+20
0+240+24
 		= 
3214
2424
 
AC+BC 
189
2611
 		+ 
3214
2424
 		= 
5023
5035
 		....(2)

From (1) and We get (A+B)C = AC + BC

 



10)  

Find (A+b)C and AC+BC. Is (A+B)C = AC+BC.

If  A = 
33
53
 		B= 
54
06
 		and c = 
2-1
53
 		 

 (A+B)C =

 
Answer: 51 Answer: 13
Answer: 55 Answer: 22
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
53
 		B= 
54
06
 		and c = 
2-1
53
 

T0 find (A+B) C

A + B =
33
53
+
54
06
=
87
59
(A+B) C =
87
59
 
2-1
53
 		= 
16+35-8+21
10+45-5+27
 		= 
5113
5522
 		...(1)

To find AC+ BC

 

AC =
33
53
 
2-1
53
 		= 
6+15-3+9
10+15-5+9
 		= 
216
254
 

 

BC =
54
06
 
2-1
53
 		= 
10+20-5+12
0+300+18
 		= 
307
3018
 
AC+BC 
216
254
 		+ 
307
3018
 		= 
5113
5522
 		....(2)

From (1) and We get (A+B)C = AC + BC