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
45
 		B= 
67
08
 		and c = 
1-1
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




2)  

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

If  A = 
33
53
 		B= 
57
07
 		and c = 
4-2
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




3)  

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

If  A = 
33
37
 		B= 
68
06
 		and c = 
4-2
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




4)  

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

If  A = 
33
54
 		B= 
57
08
 		and c = 
1-2
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




5)  

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

If  A = 
33
45
 		B= 
56
08
 		and c = 
3-2
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




6)  

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

If  A = 
33
53
 		B= 
54
07
 		and c = 
1-2
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




7)  

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

If  A = 
33
44
 		B= 
67
05
 		and c = 
1-2
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




8)  

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

If  A = 
33
24
 		B= 
64
08
 		and c = 
2-1
33
 		 

 (A+B)C =

 
 
 






Answer:_______________




9)  

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

If  A = 
33
47
 		B= 
54
09
 		and c = 
3-1
33
 		 

 (A+B)C =

 
 
 






Answer:_______________




10)  

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

If  A = 
33
24
 		B= 
67
06
 		and c = 
3-2
33
 		 

 (A+B)C =

 
 
 






Answer:_______________




 

1)  

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

If  A = 
33
45
 		B= 
67
08
 		and c = 
1-1
43
 		 

 (A+B)C =

 
Answer: 49 Answer: 21
Answer: 56 Answer: 35
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
45
 		B= 
67
08
 		and c = 
1-1
43
 

T0 find (A+B) C

A + B =
33
45
+
67
08
=
910
413
(A+B) C =
910
413
 
1-1
43
 		= 
9+40-9+30
4+52-4+39
 		= 
4921
5635
 		...(1)

To find AC+ BC

 

AC =
33
45
 
1-1
43
 		= 
3+12-3+9
4+20-4+15
 		= 
156
2411
 

 

BC =
67
08
 
1-1
43
 		= 
6+28-6+21
0+320+24
 		= 
3415
3224
 
AC+BC 
156
2411
 		+ 
3415
3224
 		= 
4921
5635
 		....(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= 
57
07
 		and c = 
4-2
44
 		 

 (A+B)C =

 
Answer: 72 Answer: 24
Answer: 60 Answer: 30
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
53
 		B= 
57
07
 		and c = 
4-2
44
 

T0 find (A+B) C

A + B =
33
53
+
57
07
=
810
510
(A+B) C =
810
510
 
4-2
44
 		= 
32+40-16+40
20+40-10+40
 		= 
7224
6030
 		...(1)

To find AC+ BC

 

AC =
33
53
 
4-2
44
 		= 
12+12-6+12
20+12-10+12
 		= 
246
322
 

 

BC =
57
07
 
4-2
44
 		= 
20+28-10+28
0+280+28
 		= 
4818
2828
 
AC+BC 
246
322
 		+ 
4818
2828
 		= 
7224
6030
 		....(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
37
 		B= 
68
06
 		and c = 
4-2
54
 		 

 (A+B)C =

 
Answer: 91 Answer: 26
Answer: 77 Answer: 46
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
37
 		B= 
68
06
 		and c = 
4-2
54
 

T0 find (A+B) C

A + B =
33
37
+
68
06
=
911
313
(A+B) C =
911
313
 
4-2
54
 		= 
36+55-18+44
12+65-6+52
 		= 
9126
7746
 		...(1)

To find AC+ BC

 

AC =
33
37
 
4-2
54
 		= 
12+15-6+12
12+35-6+28
 		= 
276
4722
 

 

BC =
68
06
 
4-2
54
 		= 
24+40-12+32
0+300+24
 		= 
6420
3024
 
AC+BC 
276
4722
 		+ 
6420
3024
 		= 
9126
7746
 		....(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
54
 		B= 
57
08
 		and c = 
1-2
43
 		 

 (A+B)C =

 
Answer: 48 Answer: 14
Answer: 53 Answer: 26
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
54
 		B= 
57
08
 		and c = 
1-2
43
 

T0 find (A+B) C

A + B =
33
54
+
57
08
=
810
512
(A+B) C =
810
512
 
1-2
43
 		= 
8+40-16+30
5+48-10+36
 		= 
4814
5326
 		...(1)

To find AC+ BC

 

AC =
33
54
 
1-2
43
 		= 
3+12-6+9
5+16-10+12
 		= 
153
212
 

 

BC =
57
08
 
1-2
43
 		= 
5+28-10+21
0+320+24
 		= 
3311
3224
 
AC+BC 
153
212
 		+ 
3311
3224
 		= 
4814
5326
 		....(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
45
 		B= 
56
08
 		and c = 
3-2
23
 		 

 (A+B)C =

 
Answer: 42 Answer: 11
Answer: 38 Answer: 31
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
45
 		B= 
56
08
 		and c = 
3-2
23
 

T0 find (A+B) C

A + B =
33
45
+
56
08
=
89
413
(A+B) C =
89
413
 
3-2
23
 		= 
24+18-16+27
12+26-8+39
 		= 
4211
3831
 		...(1)

To find AC+ BC

 

AC =
33
45
 
3-2
23
 		= 
9+6-6+9
12+10-8+15
 		= 
153
227
 

 

BC =
56
08
 
3-2
23
 		= 
15+12-10+18
0+160+24
 		= 
278
1624
 
AC+BC 
153
227
 		+ 
278
1624
 		= 
4211
3831
 		....(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
53
 		B= 
54
07
 		and c = 
1-2
23
 		 

 (A+B)C =

 
Answer: 22 Answer: 5
Answer: 25 Answer: 20
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
53
 		B= 
54
07
 		and c = 
1-2
23
 

T0 find (A+B) C

A + B =
33
53
+
54
07
=
87
510
(A+B) C =
87
510
 
1-2
23
 		= 
8+14-16+21
5+20-10+30
 		= 
225
2520
 		...(1)

To find AC+ BC

 

AC =
33
53
 
1-2
23
 		= 
3+6-6+9
5+6-10+9
 		= 
93
11-1
 

 

BC =
54
07
 
1-2
23
 		= 
5+8-10+12
0+140+21
 		= 
132
1421
 
AC+BC 
93
11-1
 		+ 
132
1421
 		= 
225
2520
 		....(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= 
67
05
 		and c = 
1-2
53
 		 

 (A+B)C =

 
Answer: 59 Answer: 12
Answer: 49 Answer: 19
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
44
 		B= 
67
05
 		and c = 
1-2
53
 

T0 find (A+B) C

A + B =
33
44
+
67
05
=
910
49
(A+B) C =
910
49
 
1-2
53
 		= 
9+50-18+30
4+45-8+27
 		= 
5912
4919
 		...(1)

To find AC+ BC

 

AC =
33
44
 
1-2
53
 		= 
3+15-6+9
4+20-8+12
 		= 
183
244
 

 

BC =
67
05
 
1-2
53
 		= 
6+35-12+21
0+250+15
 		= 
419
2515
 
AC+BC 
183
244
 		+ 
419
2515
 		= 
5912
4919
 		....(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
24
 		B= 
64
08
 		and c = 
2-1
33
 		 

 (A+B)C =

 
Answer: 39 Answer: 12
Answer: 40 Answer: 34
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
24
 		B= 
64
08
 		and c = 
2-1
33
 

T0 find (A+B) C

A + B =
33
24
+
64
08
=
97
212
(A+B) C =
97
212
 
2-1
33
 		= 
18+21-9+21
4+36-2+36
 		= 
3912
4034
 		...(1)

To find AC+ BC

 

AC =
33
24
 
2-1
33
 		= 
6+9-3+9
4+12-2+12
 		= 
156
1610
 

 

BC =
64
08
 
2-1
33
 		= 
12+12-6+12
0+240+24
 		= 
246
2424
 
AC+BC 
156
1610
 		+ 
246
2424
 		= 
3912
4034
 		....(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
47
 		B= 
54
09
 		and c = 
3-1
33
 		 

 (A+B)C =

 
Answer: 45 Answer: 13
Answer: 60 Answer: 44
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
47
 		B= 
54
09
 		and c = 
3-1
33
 

T0 find (A+B) C

A + B =
33
47
+
54
09
=
87
416
(A+B) C =
87
416
 
3-1
33
 		= 
24+21-8+21
12+48-4+48
 		= 
4513
6044
 		...(1)

To find AC+ BC

 

AC =
33
47
 
3-1
33
 		= 
9+9-3+9
12+21-4+21
 		= 
186
3317
 

 

BC =
54
09
 
3-1
33
 		= 
15+12-5+12
0+270+27
 		= 
277
2727
 
AC+BC 
186
3317
 		+ 
277
2727
 		= 
4513
6044
 		....(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
24
 		B= 
67
06
 		and c = 
3-2
33
 		 

 (A+B)C =

 
Answer: 57 Answer: 12
Answer: 36 Answer: 26
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
24
 		B= 
67
06
 		and c = 
3-2
33
 

T0 find (A+B) C

A + B =
33
24
+
67
06
=
910
210
(A+B) C =
910
210
 
3-2
33
 		= 
27+30-18+30
6+30-4+30
 		= 
5712
3626
 		...(1)

To find AC+ BC

 

AC =
33
24
 
3-2
33
 		= 
9+9-6+9
6+12-4+12
 		= 
183
188
 

 

BC =
67
06
 
3-2
33
 		= 
18+21-12+21
0+180+18
 		= 
399
1818
 
AC+BC 
183
188
 		+ 
399
1818
 		= 
5712
3626
 		....(2)

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