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
53
 		B= 
56
07
 		and c = 
2-1
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




2)  

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

If  A = 
33
55
 		B= 
67
07
 		and c = 
3-1
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




3)  

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

If  A = 
33
23
 		B= 
66
09
 		and c = 
2-1
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




4)  

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

If  A = 
33
26
 		B= 
65
06
 		and c = 
4-1
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




5)  

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

If  A = 
33
33
 		B= 
64
08
 		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
24
 		B= 
54
08
 		and c = 
1-1
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




7)  

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

If  A = 
33
33
 		B= 
58
08
 		and c = 
2-2
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




8)  

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

If  A = 
33
45
 		B= 
67
07
 		and c = 
3-1
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




9)  

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

If  A = 
33
27
 		B= 
64
09
 		and c = 
1-1
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




10)  

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

If  A = 
33
35
 		B= 
57
05
 		and c = 
2-1
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




 

1)  

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

If  A = 
33
53
 		B= 
56
07
 		and c = 
2-1
43
 		 

 (A+B)C =

 
Answer: 52 Answer: 19
Answer: 50 Answer: 25
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
53
 		B= 
56
07
 		and c = 
2-1
43
 

T0 find (A+B) C

A + B =
33
53
+
56
07
=
89
510
(A+B) C =
89
510
 
2-1
43
 		= 
16+36-8+27
10+40-5+30
 		= 
5219
5025
 		...(1)

To find AC+ BC

 

AC =
33
53
 
2-1
43
 		= 
6+12-3+9
10+12-5+9
 		= 
186
224
 

 

BC =
56
07
 
2-1
43
 		= 
10+24-5+18
0+280+21
 		= 
3413
2821
 
AC+BC 
186
224
 		+ 
3413
2821
 		= 
5219
5025
 		....(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
55
 		B= 
67
07
 		and c = 
3-1
23
 		 

 (A+B)C =

 
Answer: 47 Answer: 21
Answer: 39 Answer: 31
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
55
 		B= 
67
07
 		and c = 
3-1
23
 

T0 find (A+B) C

A + B =
33
55
+
67
07
=
910
512
(A+B) C =
910
512
 
3-1
23
 		= 
27+20-9+30
15+24-5+36
 		= 
4721
3931
 		...(1)

To find AC+ BC

 

AC =
33
55
 
3-1
23
 		= 
9+6-3+9
15+10-5+15
 		= 
156
2510
 

 

BC =
67
07
 
3-1
23
 		= 
18+14-6+21
0+140+21
 		= 
3215
1421
 
AC+BC 
156
2510
 		+ 
3215
1421
 		= 
4721
3931
 		....(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
23
 		B= 
66
09
 		and c = 
2-1
44
 		 

 (A+B)C =

 
Answer: 54 Answer: 27
Answer: 52 Answer: 46
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
23
 		B= 
66
09
 		and c = 
2-1
44
 

T0 find (A+B) C

A + B =
33
23
+
66
09
=
99
212
(A+B) C =
99
212
 
2-1
44
 		= 
18+36-9+36
4+48-2+48
 		= 
5427
5246
 		...(1)

To find AC+ BC

 

AC =
33
23
 
2-1
44
 		= 
6+12-3+12
4+12-2+12
 		= 
189
1610
 

 

BC =
66
09
 
2-1
44
 		= 
12+24-6+24
0+360+36
 		= 
3618
3636
 
AC+BC 
189
1610
 		+ 
3618
3636
 		= 
5427
5246
 		....(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
26
 		B= 
65
06
 		and c = 
4-1
43
 		 

 (A+B)C =

 
Answer: 68 Answer: 15
Answer: 56 Answer: 34
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
26
 		B= 
65
06
 		and c = 
4-1
43
 

T0 find (A+B) C

A + B =
33
26
+
65
06
=
98
212
(A+B) C =
98
212
 
4-1
43
 		= 
36+32-9+24
8+48-2+36
 		= 
6815
5634
 		...(1)

To find AC+ BC

 

AC =
33
26
 
4-1
43
 		= 
12+12-3+9
8+24-2+18
 		= 
246
3216
 

 

BC =
65
06
 
4-1
43
 		= 
24+20-6+15
0+240+18
 		= 
449
2418
 
AC+BC 
246
3216
 		+ 
449
2418
 		= 
6815
5634
 		....(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
33
 		B= 
64
08
 		and c = 
4-1
33
 		 

 (A+B)C =

 
Answer: 57 Answer: 12
Answer: 45 Answer: 30
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
33
 		B= 
64
08
 		and c = 
4-1
33
 

T0 find (A+B) C

A + B =
33
33
+
64
08
=
97
311
(A+B) C =
97
311
 
4-1
33
 		= 
36+21-9+21
12+33-3+33
 		= 
5712
4530
 		...(1)

To find AC+ BC

 

AC =
33
33
 
4-1
33
 		= 
12+9-3+9
12+9-3+9
 		= 
216
216
 

 

BC =
64
08
 
4-1
33
 		= 
24+12-6+12
0+240+24
 		= 
366
2424
 
AC+BC 
216
216
 		+ 
366
2424
 		= 
5712
4530
 		....(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
24
 		B= 
54
08
 		and c = 
1-1
44
 		 

 (A+B)C =

 
Answer: 36 Answer: 20
Answer: 50 Answer: 46
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
24
 		B= 
54
08
 		and c = 
1-1
44
 

T0 find (A+B) C

A + B =
33
24
+
54
08
=
87
212
(A+B) C =
87
212
 
1-1
44
 		= 
8+28-8+28
2+48-2+48
 		= 
3620
5046
 		...(1)

To find AC+ BC

 

AC =
33
24
 
1-1
44
 		= 
3+12-3+12
2+16-2+16
 		= 
159
1814
 

 

BC =
54
08
 
1-1
44
 		= 
5+16-5+16
0+320+32
 		= 
2111
3232
 
AC+BC 
159
1814
 		+ 
2111
3232
 		= 
3620
5046
 		....(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
33
 		B= 
58
08
 		and c = 
2-2
54
 		 

 (A+B)C =

 
Answer: 71 Answer: 28
Answer: 61 Answer: 38
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
33
 		B= 
58
08
 		and c = 
2-2
54
 

T0 find (A+B) C

A + B =
33
33
+
58
08
=
811
311
(A+B) C =
811
311
 
2-2
54
 		= 
16+55-16+44
6+55-6+44
 		= 
7128
6138
 		...(1)

To find AC+ BC

 

AC =
33
33
 
2-2
54
 		= 
6+15-6+12
6+15-6+12
 		= 
216
216
 

 

BC =
58
08
 
2-2
54
 		= 
10+40-10+32
0+400+32
 		= 
5022
4032
 
AC+BC 
216
216
 		+ 
5022
4032
 		= 
7128
6138
 		....(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
45
 		B= 
67
07
 		and c = 
3-1
53
 		 

 (A+B)C =

 
Answer: 77 Answer: 21
Answer: 72 Answer: 32
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
45
 		B= 
67
07
 		and c = 
3-1
53
 

T0 find (A+B) C

A + B =
33
45
+
67
07
=
910
412
(A+B) C =
910
412
 
3-1
53
 		= 
27+50-9+30
12+60-4+36
 		= 
7721
7232
 		...(1)

To find AC+ BC

 

AC =
33
45
 
3-1
53
 		= 
9+15-3+9
12+25-4+15
 		= 
246
3711
 

 

BC =
67
07
 
3-1
53
 		= 
18+35-6+21
0+350+21
 		= 
5315
3521
 
AC+BC 
246
3711
 		+ 
5315
3521
 		= 
7721
7232
 		....(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
27
 		B= 
64
09
 		and c = 
1-1
43
 		 

 (A+B)C =

 
Answer: 37 Answer: 12
Answer: 66 Answer: 46
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
27
 		B= 
64
09
 		and c = 
1-1
43
 

T0 find (A+B) C

A + B =
33
27
+
64
09
=
97
216
(A+B) C =
97
216
 
1-1
43
 		= 
9+28-9+21
2+64-2+48
 		= 
3712
6646
 		...(1)

To find AC+ BC

 

AC =
33
27
 
1-1
43
 		= 
3+12-3+9
2+28-2+21
 		= 
156
3019
 

 

BC =
64
09
 
1-1
43
 		= 
6+16-6+12
0+360+27
 		= 
226
3627
 
AC+BC 
156
3019
 		+ 
226
3627
 		= 
3712
6646
 		....(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
35
 		B= 
57
05
 		and c = 
2-1
23
 		 

 (A+B)C =

 
Answer: 36 Answer: 22
Answer: 26 Answer: 27
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
35
 		B= 
57
05
 		and c = 
2-1
23
 

T0 find (A+B) C

A + B =
33
35
+
57
05
=
810
310
(A+B) C =
810
310
 
2-1
23
 		= 
16+20-8+30
6+20-3+30
 		= 
3622
2627
 		...(1)

To find AC+ BC

 

AC =
33
35
 
2-1
23
 		= 
6+6-3+9
6+10-3+15
 		= 
126
1612
 

 

BC =
57
05
 
2-1
23
 		= 
10+14-5+21
0+100+15
 		= 
2416
1015
 
AC+BC 
126
1612
 		+ 
2416
1015
 		= 
3622
2627
 		....(2)

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