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
47
 		B= 
57
06
 		and c = 
1-2
24
 		 

 (A+B)C =

 
 
 






Answer:_______________




2)  

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

If  A = 
33
44
 		B= 
68
06
 		and c = 
1-2
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




3)  

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

If  A = 
33
55
 		B= 
66
05
 		and c = 
2-1
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




4)  

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

If  A = 
33
55
 		B= 
67
09
 		and c = 
2-2
34
 		 

 (A+B)C =

 
 
 






Answer:_______________




5)  

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

If  A = 
33
36
 		B= 
58
05
 		and c = 
1-1
24
 		 

 (A+B)C =

 
 
 






Answer:_______________




6)  

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

If  A = 
33
55
 		B= 
56
07
 		and c = 
2-2
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




7)  

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

If  A = 
33
47
 		B= 
54
07
 		and c = 
3-1
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




8)  

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

If  A = 
33
23
 		B= 
55
05
 		and c = 
3-1
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




9)  

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

If  A = 
33
23
 		B= 
67
05
 		and c = 
2-1
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




10)  

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

If  A = 
33
26
 		B= 
57
08
 		and c = 
2-2
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




 

1)  

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

If  A = 
33
47
 		B= 
57
06
 		and c = 
1-2
24
 		 

 (A+B)C =

 
Answer: 28 Answer: 24
Answer: 30 Answer: 44
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
47
 		B= 
57
06
 		and c = 
1-2
24
 

T0 find (A+B) C

A + B =
33
47
+
57
06
=
810
413
(A+B) C =
810
413
 
1-2
24
 		= 
8+20-16+40
4+26-8+52
 		= 
2824
3044
 		...(1)

To find AC+ BC

 

AC =
33
47
 
1-2
24
 		= 
3+6-6+12
4+14-8+28
 		= 
96
1820
 

 

BC =
57
06
 
1-2
24
 		= 
5+14-10+28
0+120+24
 		= 
1918
1224
 
AC+BC 
96
1820
 		+ 
1918
1224
 		= 
2824
3044
 		....(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= 
68
06
 		and c = 
1-2
44
 		 

 (A+B)C =

 
Answer: 53 Answer: 26
Answer: 44 Answer: 32
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
44
 		B= 
68
06
 		and c = 
1-2
44
 

T0 find (A+B) C

A + B =
33
44
+
68
06
=
911
410
(A+B) C =
911
410
 
1-2
44
 		= 
9+44-18+44
4+40-8+40
 		= 
5326
4432
 		...(1)

To find AC+ BC

 

AC =
33
44
 
1-2
44
 		= 
3+12-6+12
4+16-8+16
 		= 
156
208
 

 

BC =
68
06
 
1-2
44
 		= 
6+32-12+32
0+240+24
 		= 
3820
2424
 
AC+BC 
156
208
 		+ 
3820
2424
 		= 
5326
4432
 		....(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
55
 		B= 
66
05
 		and c = 
2-1
54
 		 

 (A+B)C =

 
Answer: 63 Answer: 27
Answer: 60 Answer: 35
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
55
 		B= 
66
05
 		and c = 
2-1
54
 

T0 find (A+B) C

A + B =
33
55
+
66
05
=
99
510
(A+B) C =
99
510
 
2-1
54
 		= 
18+45-9+36
10+50-5+40
 		= 
6327
6035
 		...(1)

To find AC+ BC

 

AC =
33
55
 
2-1
54
 		= 
6+15-3+12
10+25-5+20
 		= 
219
3515
 

 

BC =
66
05
 
2-1
54
 		= 
12+30-6+24
0+250+20
 		= 
4218
2520
 
AC+BC 
219
3515
 		+ 
4218
2520
 		= 
6327
6035
 		....(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
55
 		B= 
67
09
 		and c = 
2-2
34
 		 

 (A+B)C =

 
Answer: 48 Answer: 22
Answer: 52 Answer: 46
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
55
 		B= 
67
09
 		and c = 
2-2
34
 

T0 find (A+B) C

A + B =
33
55
+
67
09
=
910
514
(A+B) C =
910
514
 
2-2
34
 		= 
18+30-18+40
10+42-10+56
 		= 
4822
5246
 		...(1)

To find AC+ BC

 

AC =
33
55
 
2-2
34
 		= 
6+9-6+12
10+15-10+20
 		= 
156
2510
 

 

BC =
67
09
 
2-2
34
 		= 
12+21-12+28
0+270+36
 		= 
3316
2736
 
AC+BC 
156
2510
 		+ 
3316
2736
 		= 
4822
5246
 		....(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
36
 		B= 
58
05
 		and c = 
1-1
24
 		 

 (A+B)C =

 
Answer: 30 Answer: 36
Answer: 25 Answer: 41
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
36
 		B= 
58
05
 		and c = 
1-1
24
 

T0 find (A+B) C

A + B =
33
36
+
58
05
=
811
311
(A+B) C =
811
311
 
1-1
24
 		= 
8+22-8+44
3+22-3+44
 		= 
3036
2541
 		...(1)

To find AC+ BC

 

AC =
33
36
 
1-1
24
 		= 
3+6-3+12
3+12-3+24
 		= 
99
1521
 

 

BC =
58
05
 
1-1
24
 		= 
5+16-5+32
0+100+20
 		= 
2127
1020
 
AC+BC 
99
1521
 		+ 
2127
1020
 		= 
3036
2541
 		....(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
55
 		B= 
56
07
 		and c = 
2-2
23
 		 

 (A+B)C =

 
Answer: 34 Answer: 11
Answer: 34 Answer: 26
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
55
 		B= 
56
07
 		and c = 
2-2
23
 

T0 find (A+B) C

A + B =
33
55
+
56
07
=
89
512
(A+B) C =
89
512
 
2-2
23
 		= 
16+18-16+27
10+24-10+36
 		= 
3411
3426
 		...(1)

To find AC+ BC

 

AC =
33
55
 
2-2
23
 		= 
6+6-6+9
10+10-10+15
 		= 
123
205
 

 

BC =
56
07
 
2-2
23
 		= 
10+12-10+18
0+140+21
 		= 
228
1421
 
AC+BC 
123
205
 		+ 
228
1421
 		= 
3411
3426
 		....(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
47
 		B= 
54
07
 		and c = 
3-1
44
 		 

 (A+B)C =

 
Answer: 52 Answer: 20
Answer: 68 Answer: 52
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
47
 		B= 
54
07
 		and c = 
3-1
44
 

T0 find (A+B) C

A + B =
33
47
+
54
07
=
87
414
(A+B) C =
87
414
 
3-1
44
 		= 
24+28-8+28
12+56-4+56
 		= 
5220
6852
 		...(1)

To find AC+ BC

 

AC =
33
47
 
3-1
44
 		= 
9+12-3+12
12+28-4+28
 		= 
219
4024
 

 

BC =
54
07
 
3-1
44
 		= 
15+16-5+16
0+280+28
 		= 
3111
2828
 
AC+BC 
219
4024
 		+ 
3111
2828
 		= 
5220
6852
 		....(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
23
 		B= 
55
05
 		and c = 
3-1
43
 		 

 (A+B)C =

 
Answer: 56 Answer: 16
Answer: 38 Answer: 22
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
23
 		B= 
55
05
 		and c = 
3-1
43
 

T0 find (A+B) C

A + B =
33
23
+
55
05
=
88
28
(A+B) C =
88
28
 
3-1
43
 		= 
24+32-8+24
6+32-2+24
 		= 
5616
3822
 		...(1)

To find AC+ BC

 

AC =
33
23
 
3-1
43
 		= 
9+12-3+9
6+12-2+9
 		= 
216
187
 

 

BC =
55
05
 
3-1
43
 		= 
15+20-5+15
0+200+15
 		= 
3510
2015
 
AC+BC 
216
187
 		+ 
3510
2015
 		= 
5616
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
23
 		B= 
67
05
 		and c = 
2-1
53
 		 

 (A+B)C =

 
Answer: 68 Answer: 21
Answer: 44 Answer: 22
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
23
 		B= 
67
05
 		and c = 
2-1
53
 

T0 find (A+B) C

A + B =
33
23
+
67
05
=
910
28
(A+B) C =
910
28
 
2-1
53
 		= 
18+50-9+30
4+40-2+24
 		= 
6821
4422
 		...(1)

To find AC+ BC

 

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

 

BC =
67
05
 
2-1
53
 		= 
12+35-6+21
0+250+15
 		= 
4715
2515
 
AC+BC 
216
197
 		+ 
4715
2515
 		= 
6821
4422
 		....(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
26
 		B= 
57
08
 		and c = 
2-2
53
 		 

 (A+B)C =

 
Answer: 66 Answer: 14
Answer: 74 Answer: 38
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
26
 		B= 
57
08
 		and c = 
2-2
53
 

T0 find (A+B) C

A + B =
33
26
+
57
08
=
810
214
(A+B) C =
810
214
 
2-2
53
 		= 
16+50-16+30
4+70-4+42
 		= 
6614
7438
 		...(1)

To find AC+ BC

 

AC =
33
26
 
2-2
53
 		= 
6+15-6+9
4+30-4+18
 		= 
213
3414
 

 

BC =
57
08
 
2-2
53
 		= 
10+35-10+21
0+400+24
 		= 
4511
4024
 
AC+BC 
213
3414
 		+ 
4511
4024
 		= 
6614
7438
 		....(2)

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