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= 
68
08
 		and c = 
4-1
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




2)  

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

If  A = 
33
26
 		B= 
64
07
 		and c = 
1-1
34
 		 

 (A+B)C =

 
 
 






Answer:_______________




3)  

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

If  A = 
33
25
 		B= 
66
09
 		and c = 
4-2
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




4)  

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

If  A = 
33
33
 		B= 
54
05
 		and c = 
1-2
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




5)  

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

If  A = 
33
56
 		B= 
58
09
 		and c = 
4-1
33
 		 

 (A+B)C =

 
 
 






Answer:_______________




6)  

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

If  A = 
33
34
 		B= 
54
09
 		and c = 
4-1
34
 		 

 (A+B)C =

 
 
 






Answer:_______________




7)  

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

If  A = 
33
53
 		B= 
68
06
 		and c = 
1-1
24
 		 

 (A+B)C =

 
 
 






Answer:_______________




8)  

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

If  A = 
33
47
 		B= 
54
09
 		and c = 
2-2
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




9)  

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

If  A = 
33
24
 		B= 
54
06
 		and c = 
1-2
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




10)  

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

If  A = 
33
45
 		B= 
68
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= 
68
08
 		and c = 
4-1
53
 		 

 (A+B)C =

 
Answer: 91 Answer: 24
Answer: 91 Answer: 41
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
47
 		B= 
68
08
 		and c = 
4-1
53
 

T0 find (A+B) C

A + B =
33
47
+
68
08
=
911
415
(A+B) C =
911
415
 
4-1
53
 		= 
36+55-9+33
16+75-4+45
 		= 
9124
9141
 		...(1)

To find AC+ BC

 

AC =
33
47
 
4-1
53
 		= 
12+15-3+9
16+35-4+21
 		= 
276
5117
 

 

BC =
68
08
 
4-1
53
 		= 
24+40-6+24
0+400+24
 		= 
6418
4024
 
AC+BC 
276
5117
 		+ 
6418
4024
 		= 
9124
9141
 		....(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
26
 		B= 
64
07
 		and c = 
1-1
34
 		 

 (A+B)C =

 
Answer: 30 Answer: 19
Answer: 41 Answer: 50
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
26
 		B= 
64
07
 		and c = 
1-1
34
 

T0 find (A+B) C

A + B =
33
26
+
64
07
=
97
213
(A+B) C =
97
213
 
1-1
34
 		= 
9+21-9+28
2+39-2+52
 		= 
3019
4150
 		...(1)

To find AC+ BC

 

AC =
33
26
 
1-1
34
 		= 
3+9-3+12
2+18-2+24
 		= 
129
2022
 

 

BC =
64
07
 
1-1
34
 		= 
6+12-6+16
0+210+28
 		= 
1810
2128
 
AC+BC 
129
2022
 		+ 
1810
2128
 		= 
3019
4150
 		....(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= 
66
09
 		and c = 
4-2
44
 		 

 (A+B)C =

 
Answer: 72 Answer: 18
Answer: 64 Answer: 52
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
25
 		B= 
66
09
 		and c = 
4-2
44
 

T0 find (A+B) C

A + B =
33
25
+
66
09
=
99
214
(A+B) C =
99
214
 
4-2
44
 		= 
36+36-18+36
8+56-4+56
 		= 
7218
6452
 		...(1)

To find AC+ BC

 

AC =
33
25
 
4-2
44
 		= 
12+12-6+12
8+20-4+20
 		= 
246
2816
 

 

BC =
66
09
 
4-2
44
 		= 
24+24-12+24
0+360+36
 		= 
4812
3636
 
AC+BC 
246
2816
 		+ 
4812
3636
 		= 
7218
6452
 		....(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
33
 		B= 
54
05
 		and c = 
1-2
23
 		 

 (A+B)C =

 
Answer: 22 Answer: 5
Answer: 19 Answer: 18
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
33
 		B= 
54
05
 		and c = 
1-2
23
 

T0 find (A+B) C

A + B =
33
33
+
54
05
=
87
38
(A+B) C =
87
38
 
1-2
23
 		= 
8+14-16+21
3+16-6+24
 		= 
225
1918
 		...(1)

To find AC+ BC

 

AC =
33
33
 
1-2
23
 		= 
3+6-6+9
3+6-6+9
 		= 
93
93
 

 

BC =
54
05
 
1-2
23
 		= 
5+8-10+12
0+100+15
 		= 
132
1015
 
AC+BC 
93
93
 		+ 
132
1015
 		= 
225
1918
 		....(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
56
 		B= 
58
09
 		and c = 
4-1
33
 		 

 (A+B)C =

 
Answer: 65 Answer: 25
Answer: 65 Answer: 40
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
56
 		B= 
58
09
 		and c = 
4-1
33
 

T0 find (A+B) C

A + B =
33
56
+
58
09
=
811
515
(A+B) C =
811
515
 
4-1
33
 		= 
32+33-8+33
20+45-5+45
 		= 
6525
6540
 		...(1)

To find AC+ BC

 

AC =
33
56
 
4-1
33
 		= 
12+9-3+9
20+18-5+18
 		= 
216
3813
 

 

BC =
58
09
 
4-1
33
 		= 
20+24-5+24
0+270+27
 		= 
4419
2727
 
AC+BC 
216
3813
 		+ 
4419
2727
 		= 
6525
6540
 		....(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
34
 		B= 
54
09
 		and c = 
4-1
34
 		 

 (A+B)C =

 
Answer: 53 Answer: 20
Answer: 51 Answer: 49
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
34
 		B= 
54
09
 		and c = 
4-1
34
 

T0 find (A+B) C

A + B =
33
34
+
54
09
=
87
313
(A+B) C =
87
313
 
4-1
34
 		= 
32+21-8+28
12+39-3+52
 		= 
5320
5149
 		...(1)

To find AC+ BC

 

AC =
33
34
 
4-1
34
 		= 
12+9-3+12
12+12-3+16
 		= 
219
2413
 

 

BC =
54
09
 
4-1
34
 		= 
20+12-5+16
0+270+36
 		= 
3211
2736
 
AC+BC 
219
2413
 		+ 
3211
2736
 		= 
5320
5149
 		....(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
53
 		B= 
68
06
 		and c = 
1-1
24
 		 

 (A+B)C =

 
Answer: 31 Answer: 35
Answer: 23 Answer: 31
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
53
 		B= 
68
06
 		and c = 
1-1
24
 

T0 find (A+B) C

A + B =
33
53
+
68
06
=
911
59
(A+B) C =
911
59
 
1-1
24
 		= 
9+22-9+44
5+18-5+36
 		= 
3135
2331
 		...(1)

To find AC+ BC

 

AC =
33
53
 
1-1
24
 		= 
3+6-3+12
5+6-5+12
 		= 
99
117
 

 

BC =
68
06
 
1-1
24
 		= 
6+16-6+32
0+120+24
 		= 
2226
1224
 
AC+BC 
99
117
 		+ 
2226
1224
 		= 
3135
2331
 		....(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= 
54
09
 		and c = 
2-2
23
 		 

 (A+B)C =

 
Answer: 30 Answer: 5
Answer: 40 Answer: 40
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
47
 		B= 
54
09
 		and c = 
2-2
23
 

T0 find (A+B) C

A + B =
33
47
+
54
09
=
87
416
(A+B) C =
87
416
 
2-2
23
 		= 
16+14-16+21
8+32-8+48
 		= 
305
4040
 		...(1)

To find AC+ BC

 

AC =
33
47
 
2-2
23
 		= 
6+6-6+9
8+14-8+21
 		= 
123
2213
 

 

BC =
54
09
 
2-2
23
 		= 
10+8-10+12
0+180+27
 		= 
182
1827
 
AC+BC 
123
2213
 		+ 
182
1827
 		= 
305
4040
 		....(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
24
 		B= 
54
06
 		and c = 
1-2
44
 		 

 (A+B)C =

 
Answer: 36 Answer: 12
Answer: 42 Answer: 36
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
24
 		B= 
54
06
 		and c = 
1-2
44
 

T0 find (A+B) C

A + B =
33
24
+
54
06
=
87
210
(A+B) C =
87
210
 
1-2
44
 		= 
8+28-16+28
2+40-4+40
 		= 
3612
4236
 		...(1)

To find AC+ BC

 

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

 

BC =
54
06
 
1-2
44
 		= 
5+16-10+16
0+240+24
 		= 
216
2424
 
AC+BC 
156
1812
 		+ 
216
2424
 		= 
3612
4236
 		....(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= 
68
08
 		and c = 
2-2
53
 		 

 (A+B)C =

 
Answer: 73 Answer: 15
Answer: 73 Answer: 31
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
45
 		B= 
68
08
 		and c = 
2-2
53
 

T0 find (A+B) C

A + B =
33
45
+
68
08
=
911
413
(A+B) C =
911
413
 
2-2
53
 		= 
18+55-18+33
8+65-8+39
 		= 
7315
7331
 		...(1)

To find AC+ BC

 

AC =
33
45
 
2-2
53
 		= 
6+15-6+9
8+25-8+15
 		= 
213
337
 

 

BC =
68
08
 
2-2
53
 		= 
12+40-12+24
0+400+24
 		= 
5212
4024
 
AC+BC 
213
337
 		+ 
5212
4024
 		= 
7315
7331
 		....(2)

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