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
36
 		B= 
58
07
 		and c = 
2-1
34
 		 

 (A+B)C =

 
 
 






Answer:_______________




2)  

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

If  A = 
33
36
 		B= 
64
07
 		and c = 
4-1
53
 		 

 (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 = 
3-2
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




4)  

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

If  A = 
33
25
 		B= 
68
06
 		and c = 
3-2
24
 		 

 (A+B)C =

 
 
 






Answer:_______________




5)  

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

If  A = 
33
24
 		B= 
57
08
 		and c = 
3-1
34
 		 

 (A+B)C =

 
 
 






Answer:_______________




6)  

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

If  A = 
33
27
 		B= 
64
06
 		and c = 
2-1
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




7)  

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

If  A = 
33
34
 		B= 
65
09
 		and c = 
3-2
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




8)  

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

If  A = 
33
44
 		B= 
56
05
 		and c = 
3-1
33
 		 

 (A+B)C =

 
 
 






Answer:_______________




9)  

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

If  A = 
33
46
 		B= 
66
05
 		and c = 
4-1
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




10)  

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

If  A = 
33
56
 		B= 
66
08
 		and c = 
1-2
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




 

1)  

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

If  A = 
33
36
 		B= 
58
07
 		and c = 
2-1
34
 		 

 (A+B)C =

 
Answer: 49 Answer: 36
Answer: 45 Answer: 49
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
36
 		B= 
58
07
 		and c = 
2-1
34
 

T0 find (A+B) C

A + B =
33
36
+
58
07
=
811
313
(A+B) C =
811
313
 
2-1
34
 		= 
16+33-8+44
6+39-3+52
 		= 
4936
4549
 		...(1)

To find AC+ BC

 

AC =
33
36
 
2-1
34
 		= 
6+9-3+12
6+18-3+24
 		= 
159
2421
 

 

BC =
58
07
 
2-1
34
 		= 
10+24-5+32
0+210+28
 		= 
3427
2128
 
AC+BC 
159
2421
 		+ 
3427
2128
 		= 
4936
4549
 		....(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
36
 		B= 
64
07
 		and c = 
4-1
53
 		 

 (A+B)C =

 
Answer: 71 Answer: 12
Answer: 77 Answer: 36
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
36
 		B= 
64
07
 		and c = 
4-1
53
 

T0 find (A+B) C

A + B =
33
36
+
64
07
=
97
313
(A+B) C =
97
313
 
4-1
53
 		= 
36+35-9+21
12+65-3+39
 		= 
7112
7736
 		...(1)

To find AC+ BC

 

AC =
33
36
 
4-1
53
 		= 
12+15-3+9
12+30-3+18
 		= 
276
4215
 

 

BC =
64
07
 
4-1
53
 		= 
24+20-6+12
0+350+21
 		= 
446
3521
 
AC+BC 
276
4215
 		+ 
446
3521
 		= 
7112
7736
 		....(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 = 
3-2
23
 		 

 (A+B)C =

 
Answer: 49 Answer: 15
Answer: 35 Answer: 33
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
37
 		B= 
68
06
 		and c = 
3-2
23
 

T0 find (A+B) C

A + B =
33
37
+
68
06
=
911
313
(A+B) C =
911
313
 
3-2
23
 		= 
27+22-18+33
9+26-6+39
 		= 
4915
3533
 		...(1)

To find AC+ BC

 

AC =
33
37
 
3-2
23
 		= 
9+6-6+9
9+14-6+21
 		= 
153
2315
 

 

BC =
68
06
 
3-2
23
 		= 
18+16-12+24
0+120+18
 		= 
3412
1218
 
AC+BC 
153
2315
 		+ 
3412
1218
 		= 
4915
3533
 		....(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
25
 		B= 
68
06
 		and c = 
3-2
24
 		 

 (A+B)C =

 
Answer: 49 Answer: 26
Answer: 28 Answer: 40
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
25
 		B= 
68
06
 		and c = 
3-2
24
 

T0 find (A+B) C

A + B =
33
25
+
68
06
=
911
211
(A+B) C =
911
211
 
3-2
24
 		= 
27+22-18+44
6+22-4+44
 		= 
4926
2840
 		...(1)

To find AC+ BC

 

AC =
33
25
 
3-2
24
 		= 
9+6-6+12
6+10-4+20
 		= 
156
1616
 

 

BC =
68
06
 
3-2
24
 		= 
18+16-12+32
0+120+24
 		= 
3420
1224
 
AC+BC 
156
1616
 		+ 
3420
1224
 		= 
4926
2840
 		....(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
24
 		B= 
57
08
 		and c = 
3-1
34
 		 

 (A+B)C =

 
Answer: 54 Answer: 32
Answer: 42 Answer: 46
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
24
 		B= 
57
08
 		and c = 
3-1
34
 

T0 find (A+B) C

A + B =
33
24
+
57
08
=
810
212
(A+B) C =
810
212
 
3-1
34
 		= 
24+30-8+40
6+36-2+48
 		= 
5432
4246
 		...(1)

To find AC+ BC

 

AC =
33
24
 
3-1
34
 		= 
9+9-3+12
6+12-2+16
 		= 
189
1814
 

 

BC =
57
08
 
3-1
34
 		= 
15+21-5+28
0+240+32
 		= 
3623
2432
 
AC+BC 
189
1814
 		+ 
3623
2432
 		= 
5432
4246
 		....(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
27
 		B= 
64
06
 		and c = 
2-1
44
 		 

 (A+B)C =

 
Answer: 46 Answer: 19
Answer: 56 Answer: 50
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
27
 		B= 
64
06
 		and c = 
2-1
44
 

T0 find (A+B) C

A + B =
33
27
+
64
06
=
97
213
(A+B) C =
97
213
 
2-1
44
 		= 
18+28-9+28
4+52-2+52
 		= 
4619
5650
 		...(1)

To find AC+ BC

 

AC =
33
27
 
2-1
44
 		= 
6+12-3+12
4+28-2+28
 		= 
189
3226
 

 

BC =
64
06
 
2-1
44
 		= 
12+16-6+16
0+240+24
 		= 
2810
2424
 
AC+BC 
189
3226
 		+ 
2810
2424
 		= 
4619
5650
 		....(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
34
 		B= 
65
09
 		and c = 
3-2
43
 		 

 (A+B)C =

 
Answer: 59 Answer: 6
Answer: 61 Answer: 33
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
34
 		B= 
65
09
 		and c = 
3-2
43
 

T0 find (A+B) C

A + B =
33
34
+
65
09
=
98
313
(A+B) C =
98
313
 
3-2
43
 		= 
27+32-18+24
9+52-6+39
 		= 
596
6133
 		...(1)

To find AC+ BC

 

AC =
33
34
 
3-2
43
 		= 
9+12-6+9
9+16-6+12
 		= 
213
256
 

 

BC =
65
09
 
3-2
43
 		= 
18+20-12+15
0+360+27
 		= 
383
3627
 
AC+BC 
213
256
 		+ 
383
3627
 		= 
596
6133
 		....(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
44
 		B= 
56
05
 		and c = 
3-1
33
 		 

 (A+B)C =

 
Answer: 51 Answer: 19
Answer: 39 Answer: 23
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
44
 		B= 
56
05
 		and c = 
3-1
33
 

T0 find (A+B) C

A + B =
33
44
+
56
05
=
89
49
(A+B) C =
89
49
 
3-1
33
 		= 
24+27-8+27
12+27-4+27
 		= 
5119
3923
 		...(1)

To find AC+ BC

 

AC =
33
44
 
3-1
33
 		= 
9+9-3+9
12+12-4+12
 		= 
186
248
 

 

BC =
56
05
 
3-1
33
 		= 
15+18-5+18
0+150+15
 		= 
3313
1515
 
AC+BC 
186
248
 		+ 
3313
1515
 		= 
5119
3923
 		....(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
46
 		B= 
66
05
 		and c = 
4-1
54
 		 

 (A+B)C =

 
Answer: 81 Answer: 27
Answer: 71 Answer: 40
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
46
 		B= 
66
05
 		and c = 
4-1
54
 

T0 find (A+B) C

A + B =
33
46
+
66
05
=
99
411
(A+B) C =
99
411
 
4-1
54
 		= 
36+45-9+36
16+55-4+44
 		= 
8127
7140
 		...(1)

To find AC+ BC

 

AC =
33
46
 
4-1
54
 		= 
12+15-3+12
16+30-4+24
 		= 
279
4620
 

 

BC =
66
05
 
4-1
54
 		= 
24+30-6+24
0+250+20
 		= 
5418
2520
 
AC+BC 
279
4620
 		+ 
5418
2520
 		= 
8127
7140
 		....(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
56
 		B= 
66
08
 		and c = 
1-2
53
 		 

 (A+B)C =

 
Answer: 54 Answer: 9
Answer: 75 Answer: 32
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
56
 		B= 
66
08
 		and c = 
1-2
53
 

T0 find (A+B) C

A + B =
33
56
+
66
08
=
99
514
(A+B) C =
99
514
 
1-2
53
 		= 
9+45-18+27
5+70-10+42
 		= 
549
7532
 		...(1)

To find AC+ BC

 

AC =
33
56
 
1-2
53
 		= 
3+15-6+9
5+30-10+18
 		= 
183
358
 

 

BC =
66
08
 
1-2
53
 		= 
6+30-12+18
0+400+24
 		= 
366
4024
 
AC+BC 
183
358
 		+ 
366
4024
 		= 
549
7532
 		....(2)

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