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
33
 		B= 
55
07
 		and c = 
1-1
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




2)  

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

If  A = 
33
53
 		B= 
64
09
 		and c = 
4-2
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




3)  

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

If  A = 
33
23
 		B= 
57
07
 		and c = 
2-1
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




4)  

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

If  A = 
33
23
 		B= 
65
08
 		and c = 
2-2
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




5)  

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

If  A = 
33
24
 		B= 
65
08
 		and c = 
1-2
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




6)  

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

If  A = 
33
35
 		B= 
67
08
 		and c = 
4-2
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




7)  

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

If  A = 
33
33
 		B= 
65
06
 		and c = 
4-1
34
 		 

 (A+B)C =

 
 
 






Answer:_______________




8)  

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

If  A = 
33
47
 		B= 
64
06
 		and c = 
1-1
34
 		 

 (A+B)C =

 
 
 






Answer:_______________




9)  

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

If  A = 
33
46
 		B= 
65
06
 		and c = 
4-2
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




10)  

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

If  A = 
33
45
 		B= 
58
05
 		and c = 
2-1
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




 

1)  

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

If  A = 
33
33
 		B= 
55
07
 		and c = 
1-1
23
 		 

 (A+B)C =

 
Answer: 24 Answer: 16
Answer: 23 Answer: 27
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
33
 		B= 
55
07
 		and c = 
1-1
23
 

T0 find (A+B) C

A + B =
33
33
+
55
07
=
88
310
(A+B) C =
88
310
 
1-1
23
 		= 
8+16-8+24
3+20-3+30
 		= 
2416
2327
 		...(1)

To find AC+ BC

 

AC =
33
33
 
1-1
23
 		= 
3+6-3+9
3+6-3+9
 		= 
96
96
 

 

BC =
55
07
 
1-1
23
 		= 
5+10-5+15
0+140+21
 		= 
1510
1421
 
AC+BC 
96
96
 		+ 
1510
1421
 		= 
2416
2327
 		....(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
53
 		B= 
64
09
 		and c = 
4-2
23
 		 

 (A+B)C =

 
Answer: 50 Answer: 3
Answer: 44 Answer: 26
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
53
 		B= 
64
09
 		and c = 
4-2
23
 

T0 find (A+B) C

A + B =
33
53
+
64
09
=
97
512
(A+B) C =
97
512
 
4-2
23
 		= 
36+14-18+21
20+24-10+36
 		= 
503
4426
 		...(1)

To find AC+ BC

 

AC =
33
53
 
4-2
23
 		= 
12+6-6+9
20+6-10+9
 		= 
183
26-1
 

 

BC =
64
09
 
4-2
23
 		= 
24+8-12+12
0+180+27
 		= 
320
1827
 
AC+BC 
183
26-1
 		+ 
320
1827
 		= 
503
4426
 		....(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
23
 		B= 
57
07
 		and c = 
2-1
53
 		 

 (A+B)C =

 
Answer: 66 Answer: 22
Answer: 54 Answer: 28
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
23
 		B= 
57
07
 		and c = 
2-1
53
 

T0 find (A+B) C

A + B =
33
23
+
57
07
=
810
210
(A+B) C =
810
210
 
2-1
53
 		= 
16+50-8+30
4+50-2+30
 		= 
6622
5428
 		...(1)

To find AC+ BC

 

AC =
33
23
 
2-1
53
 		= 
6+15-3+9
4+15-2+9
 		= 
216
197
 

 

BC =
57
07
 
2-1
53
 		= 
10+35-5+21
0+350+21
 		= 
4516
3521
 
AC+BC 
216
197
 		+ 
4516
3521
 		= 
6622
5428
 		....(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
23
 		B= 
65
08
 		and c = 
2-2
54
 		 

 (A+B)C =

 
Answer: 58 Answer: 14
Answer: 59 Answer: 40
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
23
 		B= 
65
08
 		and c = 
2-2
54
 

T0 find (A+B) C

A + B =
33
23
+
65
08
=
98
211
(A+B) C =
98
211
 
2-2
54
 		= 
18+40-18+32
4+55-4+44
 		= 
5814
5940
 		...(1)

To find AC+ BC

 

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

 

BC =
65
08
 
2-2
54
 		= 
12+25-12+20
0+400+32
 		= 
378
4032
 
AC+BC 
216
198
 		+ 
378
4032
 		= 
5814
5940
 		....(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= 
65
08
 		and c = 
1-2
44
 		 

 (A+B)C =

 
Answer: 41 Answer: 14
Answer: 50 Answer: 44
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
24
 		B= 
65
08
 		and c = 
1-2
44
 

T0 find (A+B) C

A + B =
33
24
+
65
08
=
98
212
(A+B) C =
98
212
 
1-2
44
 		= 
9+32-18+32
2+48-4+48
 		= 
4114
5044
 		...(1)

To find AC+ BC

 

AC =
33
24
 
1-2
44
 		= 
3+12-6+12
2+16-4+16
 		= 
156
1812
 

 

BC =
65
08
 
1-2
44
 		= 
6+20-12+20
0+320+32
 		= 
268
3232
 
AC+BC 
156
1812
 		+ 
268
3232
 		= 
4114
5044
 		....(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
35
 		B= 
67
08
 		and c = 
4-2
23
 		 

 (A+B)C =

 
Answer: 56 Answer: 12
Answer: 38 Answer: 33
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
35
 		B= 
67
08
 		and c = 
4-2
23
 

T0 find (A+B) C

A + B =
33
35
+
67
08
=
910
313
(A+B) C =
910
313
 
4-2
23
 		= 
36+20-18+30
12+26-6+39
 		= 
5612
3833
 		...(1)

To find AC+ BC

 

AC =
33
35
 
4-2
23
 		= 
12+6-6+9
12+10-6+15
 		= 
183
229
 

 

BC =
67
08
 
4-2
23
 		= 
24+14-12+21
0+160+24
 		= 
389
1624
 
AC+BC 
183
229
 		+ 
389
1624
 		= 
5612
3833
 		....(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
33
 		B= 
65
06
 		and c = 
4-1
34
 		 

 (A+B)C =

 
Answer: 60 Answer: 23
Answer: 39 Answer: 33
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
33
 		B= 
65
06
 		and c = 
4-1
34
 

T0 find (A+B) C

A + B =
33
33
+
65
06
=
98
39
(A+B) C =
98
39
 
4-1
34
 		= 
36+24-9+32
12+27-3+36
 		= 
6023
3933
 		...(1)

To find AC+ BC

 

AC =
33
33
 
4-1
34
 		= 
12+9-3+12
12+9-3+12
 		= 
219
219
 

 

BC =
65
06
 
4-1
34
 		= 
24+15-6+20
0+180+24
 		= 
3914
1824
 
AC+BC 
219
219
 		+ 
3914
1824
 		= 
6023
3933
 		....(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
47
 		B= 
64
06
 		and c = 
1-1
34
 		 

 (A+B)C =

 
Answer: 30 Answer: 19
Answer: 43 Answer: 48
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
47
 		B= 
64
06
 		and c = 
1-1
34
 

T0 find (A+B) C

A + B =
33
47
+
64
06
=
97
413
(A+B) C =
97
413
 
1-1
34
 		= 
9+21-9+28
4+39-4+52
 		= 
3019
4348
 		...(1)

To find AC+ BC

 

AC =
33
47
 
1-1
34
 		= 
3+9-3+12
4+21-4+28
 		= 
129
2524
 

 

BC =
64
06
 
1-1
34
 		= 
6+12-6+16
0+180+24
 		= 
1810
1824
 
AC+BC 
129
2524
 		+ 
1810
1824
 		= 
3019
4348
 		....(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
46
 		B= 
65
06
 		and c = 
4-2
44
 		 

 (A+B)C =

 
Answer: 68 Answer: 14
Answer: 64 Answer: 40
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
46
 		B= 
65
06
 		and c = 
4-2
44
 

T0 find (A+B) C

A + B =
33
46
+
65
06
=
98
412
(A+B) C =
98
412
 
4-2
44
 		= 
36+32-18+32
16+48-8+48
 		= 
6814
6440
 		...(1)

To find AC+ BC

 

AC =
33
46
 
4-2
44
 		= 
12+12-6+12
16+24-8+24
 		= 
246
4016
 

 

BC =
65
06
 
4-2
44
 		= 
24+20-12+20
0+240+24
 		= 
448
2424
 
AC+BC 
246
4016
 		+ 
448
2424
 		= 
6814
6440
 		....(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
45
 		B= 
58
05
 		and c = 
2-1
54
 		 

 (A+B)C =

 
Answer: 71 Answer: 36
Answer: 58 Answer: 36
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
45
 		B= 
58
05
 		and c = 
2-1
54
 

T0 find (A+B) C

A + B =
33
45
+
58
05
=
811
410
(A+B) C =
811
410
 
2-1
54
 		= 
16+55-8+44
8+50-4+40
 		= 
7136
5836
 		...(1)

To find AC+ BC

 

AC =
33
45
 
2-1
54
 		= 
6+15-3+12
8+25-4+20
 		= 
219
3316
 

 

BC =
58
05
 
2-1
54
 		= 
10+40-5+32
0+250+20
 		= 
5027
2520
 
AC+BC 
219
3316
 		+ 
5027
2520
 		= 
7136
5836
 		....(2)

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