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
56
 		B= 
67
06
 		and c = 
4-1
34
 		 

 (A+B)C =

 
 
 






Answer:_______________




2)  

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

If  A = 
33
44
 		B= 
67
05
 		and c = 
4-1
24
 		 

 (A+B)C =

 
 
 






Answer:_______________




3)  

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

If  A = 
33
47
 		B= 
67
08
 		and c = 
3-2
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




4)  

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

If  A = 
33
53
 		B= 
55
08
 		and c = 
2-2
33
 		 

 (A+B)C =

 
 
 






Answer:_______________




5)  

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

If  A = 
33
24
 		B= 
56
08
 		and c = 
3-1
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




6)  

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

If  A = 
33
56
 		B= 
55
09
 		and c = 
3-2
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




7)  

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

If  A = 
33
53
 		B= 
54
05
 		and c = 
1-2
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




8)  

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

If  A = 
33
35
 		B= 
66
06
 		and c = 
2-1
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




9)  

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

If  A = 
33
55
 		B= 
64
09
 		and c = 
2-2
24
 		 

 (A+B)C =

 
 
 






Answer:_______________




10)  

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

If  A = 
33
23
 		B= 
55
09
 		and c = 
2-2
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




 

1)  

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

If  A = 
33
56
 		B= 
67
06
 		and c = 
4-1
34
 		 

 (A+B)C =

 
Answer: 66 Answer: 31
Answer: 56 Answer: 43
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
56
 		B= 
67
06
 		and c = 
4-1
34
 

T0 find (A+B) C

A + B =
33
56
+
67
06
=
910
512
(A+B) C =
910
512
 
4-1
34
 		= 
36+30-9+40
20+36-5+48
 		= 
6631
5643
 		...(1)

To find AC+ BC

 

AC =
33
56
 
4-1
34
 		= 
12+9-3+12
20+18-5+24
 		= 
219
3819
 

 

BC =
67
06
 
4-1
34
 		= 
24+21-6+28
0+180+24
 		= 
4522
1824
 
AC+BC 
219
3819
 		+ 
4522
1824
 		= 
6631
5643
 		....(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
44
 		B= 
67
05
 		and c = 
4-1
24
 		 

 (A+B)C =

 
Answer: 56 Answer: 31
Answer: 34 Answer: 32
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
44
 		B= 
67
05
 		and c = 
4-1
24
 

T0 find (A+B) C

A + B =
33
44
+
67
05
=
910
49
(A+B) C =
910
49
 
4-1
24
 		= 
36+20-9+40
16+18-4+36
 		= 
5631
3432
 		...(1)

To find AC+ BC

 

AC =
33
44
 
4-1
24
 		= 
12+6-3+12
16+8-4+16
 		= 
189
2412
 

 

BC =
67
05
 
4-1
24
 		= 
24+14-6+28
0+100+20
 		= 
3822
1020
 
AC+BC 
189
2412
 		+ 
3822
1020
 		= 
5631
3432
 		....(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
47
 		B= 
67
08
 		and c = 
3-2
44
 		 

 (A+B)C =

 
Answer: 67 Answer: 22
Answer: 72 Answer: 52
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
47
 		B= 
67
08
 		and c = 
3-2
44
 

T0 find (A+B) C

A + B =
33
47
+
67
08
=
910
415
(A+B) C =
910
415
 
3-2
44
 		= 
27+40-18+40
12+60-8+60
 		= 
6722
7252
 		...(1)

To find AC+ BC

 

AC =
33
47
 
3-2
44
 		= 
9+12-6+12
12+28-8+28
 		= 
216
4020
 

 

BC =
67
08
 
3-2
44
 		= 
18+28-12+28
0+320+32
 		= 
4616
3232
 
AC+BC 
216
4020
 		+ 
4616
3232
 		= 
6722
7252
 		....(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
53
 		B= 
55
08
 		and c = 
2-2
33
 		 

 (A+B)C =

 
Answer: 40 Answer: 8
Answer: 43 Answer: 23
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
53
 		B= 
55
08
 		and c = 
2-2
33
 

T0 find (A+B) C

A + B =
33
53
+
55
08
=
88
511
(A+B) C =
88
511
 
2-2
33
 		= 
16+24-16+24
10+33-10+33
 		= 
408
4323
 		...(1)

To find AC+ BC

 

AC =
33
53
 
2-2
33
 		= 
6+9-6+9
10+9-10+9
 		= 
153
19-1
 

 

BC =
55
08
 
2-2
33
 		= 
10+15-10+15
0+240+24
 		= 
255
2424
 
AC+BC 
153
19-1
 		+ 
255
2424
 		= 
408
4323
 		....(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
24
 		B= 
56
08
 		and c = 
3-1
54
 		 

 (A+B)C =

 
Answer: 69 Answer: 28
Answer: 66 Answer: 46
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
24
 		B= 
56
08
 		and c = 
3-1
54
 

T0 find (A+B) C

A + B =
33
24
+
56
08
=
89
212
(A+B) C =
89
212
 
3-1
54
 		= 
24+45-8+36
6+60-2+48
 		= 
6928
6646
 		...(1)

To find AC+ BC

 

AC =
33
24
 
3-1
54
 		= 
9+15-3+12
6+20-2+16
 		= 
249
2614
 

 

BC =
56
08
 
3-1
54
 		= 
15+30-5+24
0+400+32
 		= 
4519
4032
 
AC+BC 
249
2614
 		+ 
4519
4032
 		= 
6928
6646
 		....(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
56
 		B= 
55
09
 		and c = 
3-2
43
 		 

 (A+B)C =

 
Answer: 56 Answer: 8
Answer: 75 Answer: 35
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
56
 		B= 
55
09
 		and c = 
3-2
43
 

T0 find (A+B) C

A + B =
33
56
+
55
09
=
88
515
(A+B) C =
88
515
 
3-2
43
 		= 
24+32-16+24
15+60-10+45
 		= 
568
7535
 		...(1)

To find AC+ BC

 

AC =
33
56
 
3-2
43
 		= 
9+12-6+9
15+24-10+18
 		= 
213
398
 

 

BC =
55
09
 
3-2
43
 		= 
15+20-10+15
0+360+27
 		= 
355
3627
 
AC+BC 
213
398
 		+ 
355
3627
 		= 
568
7535
 		....(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
53
 		B= 
54
05
 		and c = 
1-2
54
 		 

 (A+B)C =

 
Answer: 43 Answer: 12
Answer: 45 Answer: 22
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
53
 		B= 
54
05
 		and c = 
1-2
54
 

T0 find (A+B) C

A + B =
33
53
+
54
05
=
87
58
(A+B) C =
87
58
 
1-2
54
 		= 
8+35-16+28
5+40-10+32
 		= 
4312
4522
 		...(1)

To find AC+ BC

 

AC =
33
53
 
1-2
54
 		= 
3+15-6+12
5+15-10+12
 		= 
186
202
 

 

BC =
54
05
 
1-2
54
 		= 
5+20-10+16
0+250+20
 		= 
256
2520
 
AC+BC 
186
202
 		+ 
256
2520
 		= 
4312
4522
 		....(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
35
 		B= 
66
06
 		and c = 
2-1
53
 		 

 (A+B)C =

 
Answer: 63 Answer: 18
Answer: 61 Answer: 30
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
35
 		B= 
66
06
 		and c = 
2-1
53
 

T0 find (A+B) C

A + B =
33
35
+
66
06
=
99
311
(A+B) C =
99
311
 
2-1
53
 		= 
18+45-9+27
6+55-3+33
 		= 
6318
6130
 		...(1)

To find AC+ BC

 

AC =
33
35
 
2-1
53
 		= 
6+15-3+9
6+25-3+15
 		= 
216
3112
 

 

BC =
66
06
 
2-1
53
 		= 
12+30-6+18
0+300+18
 		= 
4212
3018
 
AC+BC 
216
3112
 		+ 
4212
3018
 		= 
6318
6130
 		....(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
55
 		B= 
64
09
 		and c = 
2-2
24
 		 

 (A+B)C =

 
Answer: 32 Answer: 10
Answer: 38 Answer: 46
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
55
 		B= 
64
09
 		and c = 
2-2
24
 

T0 find (A+B) C

A + B =
33
55
+
64
09
=
97
514
(A+B) C =
97
514
 
2-2
24
 		= 
18+14-18+28
10+28-10+56
 		= 
3210
3846
 		...(1)

To find AC+ BC

 

AC =
33
55
 
2-2
24
 		= 
6+6-6+12
10+10-10+20
 		= 
126
2010
 

 

BC =
64
09
 
2-2
24
 		= 
12+8-12+16
0+180+36
 		= 
204
1836
 
AC+BC 
126
2010
 		+ 
204
1836
 		= 
3210
3846
 		....(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
23
 		B= 
55
09
 		and c = 
2-2
54
 		 

 (A+B)C =

 
Answer: 56 Answer: 16
Answer: 64 Answer: 44
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
23
 		B= 
55
09
 		and c = 
2-2
54
 

T0 find (A+B) C

A + B =
33
23
+
55
09
=
88
212
(A+B) C =
88
212
 
2-2
54
 		= 
16+40-16+32
4+60-4+48
 		= 
5616
6444
 		...(1)

To find AC+ BC

 

AC =
33
23
 
2-2
54
 		= 
6+15-6+12
4+15-4+12
 		= 
216
198
 

 

BC =
55
09
 
2-2
54
 		= 
10+25-10+20
0+450+36
 		= 
3510
4536
 
AC+BC 
216
198
 		+ 
3510
4536
 		= 
5616
6444
 		....(2)

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