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
34
 		B= 
68
07
 		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
23
 		B= 
55
07
 		and c = 
1-2
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




3)  

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

If  A = 
33
25
 		B= 
58
07
 		and c = 
3-2
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




4)  

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

If  A = 
33
47
 		B= 
65
06
 		and c = 
3-1
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




5)  

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

If  A = 
33
36
 		B= 
67
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= 
68
07
 		and c = 
3-1
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




7)  

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

If  A = 
33
44
 		B= 
66
08
 		and c = 
4-2
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




8)  

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

If  A = 
33
57
 		B= 
56
09
 		and c = 
1-1
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




9)  

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

If  A = 
33
33
 		B= 
65
07
 		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
33
 		B= 
66
05
 		and c = 
4-1
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




 

1)  

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

If  A = 
33
34
 		B= 
68
07
 		and c = 
1-2
24
 		 

 (A+B)C =

 
Answer: 31 Answer: 26
Answer: 25 Answer: 38
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
34
 		B= 
68
07
 		and c = 
1-2
24
 

T0 find (A+B) C

A + B =
33
34
+
68
07
=
911
311
(A+B) C =
911
311
 
1-2
24
 		= 
9+22-18+44
3+22-6+44
 		= 
3126
2538
 		...(1)

To find AC+ BC

 

AC =
33
34
 
1-2
24
 		= 
3+6-6+12
3+8-6+16
 		= 
96
1110
 

 

BC =
68
07
 
1-2
24
 		= 
6+16-12+32
0+140+28
 		= 
2220
1428
 
AC+BC 
96
1110
 		+ 
2220
1428
 		= 
3126
2538
 		....(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
23
 		B= 
55
07
 		and c = 
1-2
54
 		 

 (A+B)C =

 
Answer: 48 Answer: 16
Answer: 52 Answer: 36
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
23
 		B= 
55
07
 		and c = 
1-2
54
 

T0 find (A+B) C

A + B =
33
23
+
55
07
=
88
210
(A+B) C =
88
210
 
1-2
54
 		= 
8+40-16+32
2+50-4+40
 		= 
4816
5236
 		...(1)

To find AC+ BC

 

AC =
33
23
 
1-2
54
 		= 
3+15-6+12
2+15-4+12
 		= 
186
178
 

 

BC =
55
07
 
1-2
54
 		= 
5+25-10+20
0+350+28
 		= 
3010
3528
 
AC+BC 
186
178
 		+ 
3010
3528
 		= 
4816
5236
 		....(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
25
 		B= 
58
07
 		and c = 
3-2
53
 		 

 (A+B)C =

 
Answer: 79 Answer: 17
Answer: 66 Answer: 32
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
25
 		B= 
58
07
 		and c = 
3-2
53
 

T0 find (A+B) C

A + B =
33
25
+
58
07
=
811
212
(A+B) C =
811
212
 
3-2
53
 		= 
24+55-16+33
6+60-4+36
 		= 
7917
6632
 		...(1)

To find AC+ BC

 

AC =
33
25
 
3-2
53
 		= 
9+15-6+9
6+25-4+15
 		= 
243
3111
 

 

BC =
58
07
 
3-2
53
 		= 
15+40-10+24
0+350+21
 		= 
5514
3521
 
AC+BC 
243
3111
 		+ 
5514
3521
 		= 
7917
6632
 		....(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
47
 		B= 
65
06
 		and c = 
3-1
43
 		 

 (A+B)C =

 
Answer: 59 Answer: 15
Answer: 64 Answer: 35
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
47
 		B= 
65
06
 		and c = 
3-1
43
 

T0 find (A+B) C

A + B =
33
47
+
65
06
=
98
413
(A+B) C =
98
413
 
3-1
43
 		= 
27+32-9+24
12+52-4+39
 		= 
5915
6435
 		...(1)

To find AC+ BC

 

AC =
33
47
 
3-1
43
 		= 
9+12-3+9
12+28-4+21
 		= 
216
4017
 

 

BC =
65
06
 
3-1
43
 		= 
18+20-6+15
0+240+18
 		= 
389
2418
 
AC+BC 
216
4017
 		+ 
389
2418
 		= 
5915
6435
 		....(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= 
67
08
 		and c = 
1-2
44
 		 

 (A+B)C =

 
Answer: 49 Answer: 22
Answer: 59 Answer: 50
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
36
 		B= 
67
08
 		and c = 
1-2
44
 

T0 find (A+B) C

A + B =
33
36
+
67
08
=
910
314
(A+B) C =
910
314
 
1-2
44
 		= 
9+40-18+40
3+56-6+56
 		= 
4922
5950
 		...(1)

To find AC+ BC

 

AC =
33
36
 
1-2
44
 		= 
3+12-6+12
3+24-6+24
 		= 
156
2718
 

 

BC =
67
08
 
1-2
44
 		= 
6+28-12+28
0+320+32
 		= 
3416
3232
 
AC+BC 
156
2718
 		+ 
3416
3232
 		= 
4922
5950
 		....(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= 
68
07
 		and c = 
3-1
53
 		 

 (A+B)C =

 
Answer: 82 Answer: 24
Answer: 69 Answer: 33
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
35
 		B= 
68
07
 		and c = 
3-1
53
 

T0 find (A+B) C

A + B =
33
35
+
68
07
=
911
312
(A+B) C =
911
312
 
3-1
53
 		= 
27+55-9+33
9+60-3+36
 		= 
8224
6933
 		...(1)

To find AC+ BC

 

AC =
33
35
 
3-1
53
 		= 
9+15-3+9
9+25-3+15
 		= 
246
3412
 

 

BC =
68
07
 
3-1
53
 		= 
18+40-6+24
0+350+21
 		= 
5818
3521
 
AC+BC 
246
3412
 		+ 
5818
3521
 		= 
8224
6933
 		....(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
44
 		B= 
66
08
 		and c = 
4-2
53
 		 

 (A+B)C =

 
Answer: 81 Answer: 9
Answer: 76 Answer: 28
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
44
 		B= 
66
08
 		and c = 
4-2
53
 

T0 find (A+B) C

A + B =
33
44
+
66
08
=
99
412
(A+B) C =
99
412
 
4-2
53
 		= 
36+45-18+27
16+60-8+36
 		= 
819
7628
 		...(1)

To find AC+ BC

 

AC =
33
44
 
4-2
53
 		= 
12+15-6+9
16+20-8+12
 		= 
273
364
 

 

BC =
66
08
 
4-2
53
 		= 
24+30-12+18
0+400+24
 		= 
546
4024
 
AC+BC 
273
364
 		+ 
546
4024
 		= 
819
7628
 		....(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
57
 		B= 
56
09
 		and c = 
1-1
23
 		 

 (A+B)C =

 
Answer: 26 Answer: 19
Answer: 37 Answer: 43
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
57
 		B= 
56
09
 		and c = 
1-1
23
 

T0 find (A+B) C

A + B =
33
57
+
56
09
=
89
516
(A+B) C =
89
516
 
1-1
23
 		= 
8+18-8+27
5+32-5+48
 		= 
2619
3743
 		...(1)

To find AC+ BC

 

AC =
33
57
 
1-1
23
 		= 
3+6-3+9
5+14-5+21
 		= 
96
1916
 

 

BC =
56
09
 
1-1
23
 		= 
5+12-5+18
0+180+27
 		= 
1713
1827
 
AC+BC 
96
1916
 		+ 
1713
1827
 		= 
2619
3743
 		....(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
33
 		B= 
65
07
 		and c = 
2-2
24
 		 

 (A+B)C =

 
Answer: 34 Answer: 14
Answer: 26 Answer: 34
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
33
 		B= 
65
07
 		and c = 
2-2
24
 

T0 find (A+B) C

A + B =
33
33
+
65
07
=
98
310
(A+B) C =
98
310
 
2-2
24
 		= 
18+16-18+32
6+20-6+40
 		= 
3414
2634
 		...(1)

To find AC+ BC

 

AC =
33
33
 
2-2
24
 		= 
6+6-6+12
6+6-6+12
 		= 
126
126
 

 

BC =
65
07
 
2-2
24
 		= 
12+10-12+20
0+140+28
 		= 
228
1428
 
AC+BC 
126
126
 		+ 
228
1428
 		= 
3414
2634
 		....(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
33
 		B= 
66
05
 		and c = 
4-1
23
 		 

 (A+B)C =

 
Answer: 54 Answer: 18
Answer: 28 Answer: 21
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
33
 		B= 
66
05
 		and c = 
4-1
23
 

T0 find (A+B) C

A + B =
33
33
+
66
05
=
99
38
(A+B) C =
99
38
 
4-1
23
 		= 
36+18-9+27
12+16-3+24
 		= 
5418
2821
 		...(1)

To find AC+ BC

 

AC =
33
33
 
4-1
23
 		= 
12+6-3+9
12+6-3+9
 		= 
186
186
 

 

BC =
66
05
 
4-1
23
 		= 
24+12-6+18
0+100+15
 		= 
3612
1015
 
AC+BC 
186
186
 		+ 
3612
1015
 		= 
5418
2821
 		....(2)

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