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
25
 		B= 
68
08
 		and c = 
1-2
33
 		 

 (A+B)C =

 
 
 






Answer:_______________




2)  

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

If  A = 
33
33
 		B= 
68
05
 		and c = 
1-2
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




3)  

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

If  A = 
33
27
 		B= 
68
09
 		and c = 
4-2
34
 		 

 (A+B)C =

 
 
 






Answer:_______________




4)  

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

If  A = 
33
53
 		B= 
57
05
 		and c = 
4-2
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




5)  

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

If  A = 
33
55
 		B= 
57
07
 		and c = 
4-2
34
 		 

 (A+B)C =

 
 
 






Answer:_______________




6)  

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

If  A = 
33
35
 		B= 
66
05
 		and c = 
3-1
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




7)  

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

If  A = 
33
47
 		B= 
55
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
26
 		B= 
64
08
 		and c = 
2-2
33
 		 

 (A+B)C =

 
 
 






Answer:_______________




9)  

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

If  A = 
33
57
 		B= 
54
05
 		and c = 
2-2
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




10)  

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

If  A = 
33
37
 		B= 
68
07
 		and c = 
3-2
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




 

1)  

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

If  A = 
33
25
 		B= 
68
08
 		and c = 
1-2
33
 		 

 (A+B)C =

 
Answer: 42 Answer: 15
Answer: 41 Answer: 35
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
25
 		B= 
68
08
 		and c = 
1-2
33
 

T0 find (A+B) C

A + B =
33
25
+
68
08
=
911
213
(A+B) C =
911
213
 
1-2
33
 		= 
9+33-18+33
2+39-4+39
 		= 
4215
4135
 		...(1)

To find AC+ BC

 

AC =
33
25
 
1-2
33
 		= 
3+9-6+9
2+15-4+15
 		= 
123
1711
 

 

BC =
68
08
 
1-2
33
 		= 
6+24-12+24
0+240+24
 		= 
3012
2424
 
AC+BC 
123
1711
 		+ 
3012
2424
 		= 
4215
4135
 		....(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
33
 		B= 
68
05
 		and c = 
1-2
43
 		 

 (A+B)C =

 
Answer: 53 Answer: 15
Answer: 35 Answer: 18
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
33
 		B= 
68
05
 		and c = 
1-2
43
 

T0 find (A+B) C

A + B =
33
33
+
68
05
=
911
38
(A+B) C =
911
38
 
1-2
43
 		= 
9+44-18+33
3+32-6+24
 		= 
5315
3518
 		...(1)

To find AC+ BC

 

AC =
33
33
 
1-2
43
 		= 
3+12-6+9
3+12-6+9
 		= 
153
153
 

 

BC =
68
05
 
1-2
43
 		= 
6+32-12+24
0+200+15
 		= 
3812
2015
 
AC+BC 
153
153
 		+ 
3812
2015
 		= 
5315
3518
 		....(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
27
 		B= 
68
09
 		and c = 
4-2
34
 		 

 (A+B)C =

 
Answer: 69 Answer: 26
Answer: 56 Answer: 60
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
27
 		B= 
68
09
 		and c = 
4-2
34
 

T0 find (A+B) C

A + B =
33
27
+
68
09
=
911
216
(A+B) C =
911
216
 
4-2
34
 		= 
36+33-18+44
8+48-4+64
 		= 
6926
5660
 		...(1)

To find AC+ BC

 

AC =
33
27
 
4-2
34
 		= 
12+9-6+12
8+21-4+28
 		= 
216
2924
 

 

BC =
68
09
 
4-2
34
 		= 
24+24-12+32
0+270+36
 		= 
4820
2736
 
AC+BC 
216
2924
 		+ 
4820
2736
 		= 
6926
5660
 		....(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= 
57
05
 		and c = 
4-2
53
 		 

 (A+B)C =

 
Answer: 82 Answer: 14
Answer: 60 Answer: 14
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
53
 		B= 
57
05
 		and c = 
4-2
53
 

T0 find (A+B) C

A + B =
33
53
+
57
05
=
810
58
(A+B) C =
810
58
 
4-2
53
 		= 
32+50-16+30
20+40-10+24
 		= 
8214
6014
 		...(1)

To find AC+ BC

 

AC =
33
53
 
4-2
53
 		= 
12+15-6+9
20+15-10+9
 		= 
273
35-1
 

 

BC =
57
05
 
4-2
53
 		= 
20+35-10+21
0+250+15
 		= 
5511
2515
 
AC+BC 
273
35-1
 		+ 
5511
2515
 		= 
8214
6014
 		....(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
55
 		B= 
57
07
 		and c = 
4-2
34
 		 

 (A+B)C =

 
Answer: 62 Answer: 24
Answer: 56 Answer: 38
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
55
 		B= 
57
07
 		and c = 
4-2
34
 

T0 find (A+B) C

A + B =
33
55
+
57
07
=
810
512
(A+B) C =
810
512
 
4-2
34
 		= 
32+30-16+40
20+36-10+48
 		= 
6224
5638
 		...(1)

To find AC+ BC

 

AC =
33
55
 
4-2
34
 		= 
12+9-6+12
20+15-10+20
 		= 
216
3510
 

 

BC =
57
07
 
4-2
34
 		= 
20+21-10+28
0+210+28
 		= 
4118
2128
 
AC+BC 
216
3510
 		+ 
4118
2128
 		= 
6224
5638
 		....(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= 
66
05
 		and c = 
3-1
23
 		 

 (A+B)C =

 
Answer: 45 Answer: 18
Answer: 29 Answer: 27
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
35
 		B= 
66
05
 		and c = 
3-1
23
 

T0 find (A+B) C

A + B =
33
35
+
66
05
=
99
310
(A+B) C =
99
310
 
3-1
23
 		= 
27+18-9+27
9+20-3+30
 		= 
4518
2927
 		...(1)

To find AC+ BC

 

AC =
33
35
 
3-1
23
 		= 
9+6-3+9
9+10-3+15
 		= 
156
1912
 

 

BC =
66
05
 
3-1
23
 		= 
18+12-6+18
0+100+15
 		= 
3012
1015
 
AC+BC 
156
1912
 		+ 
3012
1015
 		= 
4518
2927
 		....(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= 
55
06
 		and c = 
4-1
34
 		 

 (A+B)C =

 
Answer: 56 Answer: 24
Answer: 55 Answer: 48
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
47
 		B= 
55
06
 		and c = 
4-1
34
 

T0 find (A+B) C

A + B =
33
47
+
55
06
=
88
413
(A+B) C =
88
413
 
4-1
34
 		= 
32+24-8+32
16+39-4+52
 		= 
5624
5548
 		...(1)

To find AC+ BC

 

AC =
33
47
 
4-1
34
 		= 
12+9-3+12
16+21-4+28
 		= 
219
3724
 

 

BC =
55
06
 
4-1
34
 		= 
20+15-5+20
0+180+24
 		= 
3515
1824
 
AC+BC 
219
3724
 		+ 
3515
1824
 		= 
5624
5548
 		....(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
26
 		B= 
64
08
 		and c = 
2-2
33
 		 

 (A+B)C =

 
Answer: 39 Answer: 3
Answer: 46 Answer: 38
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
26
 		B= 
64
08
 		and c = 
2-2
33
 

T0 find (A+B) C

A + B =
33
26
+
64
08
=
97
214
(A+B) C =
97
214
 
2-2
33
 		= 
18+21-18+21
4+42-4+42
 		= 
393
4638
 		...(1)

To find AC+ BC

 

AC =
33
26
 
2-2
33
 		= 
6+9-6+9
4+18-4+18
 		= 
153
2214
 

 

BC =
64
08
 
2-2
33
 		= 
12+12-12+12
0+240+24
 		= 
240
2424
 
AC+BC 
153
2214
 		+ 
240
2424
 		= 
393
4638
 		....(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
57
 		B= 
54
05
 		and c = 
2-2
54
 		 

 (A+B)C =

 
Answer: 51 Answer: 12
Answer: 70 Answer: 38
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
57
 		B= 
54
05
 		and c = 
2-2
54
 

T0 find (A+B) C

A + B =
33
57
+
54
05
=
87
512
(A+B) C =
87
512
 
2-2
54
 		= 
16+35-16+28
10+60-10+48
 		= 
5112
7038
 		...(1)

To find AC+ BC

 

AC =
33
57
 
2-2
54
 		= 
6+15-6+12
10+35-10+28
 		= 
216
4518
 

 

BC =
54
05
 
2-2
54
 		= 
10+20-10+16
0+250+20
 		= 
306
2520
 
AC+BC 
216
4518
 		+ 
306
2520
 		= 
5112
7038
 		....(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
37
 		B= 
68
07
 		and c = 
3-2
53
 		 

 (A+B)C =

 
Answer: 82 Answer: 15
Answer: 79 Answer: 36
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
37
 		B= 
68
07
 		and c = 
3-2
53
 

T0 find (A+B) C

A + B =
33
37
+
68
07
=
911
314
(A+B) C =
911
314
 
3-2
53
 		= 
27+55-18+33
9+70-6+42
 		= 
8215
7936
 		...(1)

To find AC+ BC

 

AC =
33
37
 
3-2
53
 		= 
9+15-6+9
9+35-6+21
 		= 
243
4415
 

 

BC =
68
07
 
3-2
53
 		= 
18+40-12+24
0+350+21
 		= 
5812
3521
 
AC+BC 
243
4415
 		+ 
5812
3521
 		= 
8215
7936
 		....(2)

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