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
33
 		B= 
58
05
 		and c = 
2-2
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




2)  

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

If  A = 
33
55
 		B= 
66
05
 		and c = 
1-1
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




3)  

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

If  A = 
33
47
 		B= 
55
07
 		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
57
 		B= 
66
09
 		and c = 
1-2
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




5)  

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

If  A = 
33
24
 		B= 
58
08
 		and c = 
3-1
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




6)  

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

If  A = 
33
37
 		B= 
66
09
 		and c = 
1-1
33
 		 

 (A+B)C =

 
 
 






Answer:_______________




7)  

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

If  A = 
33
56
 		B= 
57
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
43
 		B= 
56
05
 		and c = 
1-1
34
 		 

 (A+B)C =

 
 
 






Answer:_______________




9)  

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

If  A = 
33
24
 		B= 
68
07
 		and c = 
4-2
34
 		 

 (A+B)C =

 
 
 






Answer:_______________




10)  

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

If  A = 
33
45
 		B= 
67
09
 		and c = 
3-1
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




 

1)  

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

If  A = 
33
33
 		B= 
58
05
 		and c = 
2-2
43
 		 

 (A+B)C =

 
Answer: 60 Answer: 17
Answer: 38 Answer: 18
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
33
 		B= 
58
05
 		and c = 
2-2
43
 

T0 find (A+B) C

A + B =
33
33
+
58
05
=
811
38
(A+B) C =
811
38
 
2-2
43
 		= 
16+44-16+33
6+32-6+24
 		= 
6017
3818
 		...(1)

To find AC+ BC

 

AC =
33
33
 
2-2
43
 		= 
6+12-6+9
6+12-6+9
 		= 
183
183
 

 

BC =
58
05
 
2-2
43
 		= 
10+32-10+24
0+200+15
 		= 
4214
2015
 
AC+BC 
183
183
 		+ 
4214
2015
 		= 
6017
3818
 		....(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= 
66
05
 		and c = 
1-1
23
 		 

 (A+B)C =

 
Answer: 27 Answer: 18
Answer: 25 Answer: 25
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
55
 		B= 
66
05
 		and c = 
1-1
23
 

T0 find (A+B) C

A + B =
33
55
+
66
05
=
99
510
(A+B) C =
99
510
 
1-1
23
 		= 
9+18-9+27
5+20-5+30
 		= 
2718
2525
 		...(1)

To find AC+ BC

 

AC =
33
55
 
1-1
23
 		= 
3+6-3+9
5+10-5+15
 		= 
96
1510
 

 

BC =
66
05
 
1-1
23
 		= 
6+12-6+18
0+100+15
 		= 
1812
1015
 
AC+BC 
96
1510
 		+ 
1812
1015
 		= 
2718
2525
 		....(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
47
 		B= 
55
07
 		and c = 
4-2
44
 		 

 (A+B)C =

 
Answer: 64 Answer: 16
Answer: 72 Answer: 48
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
47
 		B= 
55
07
 		and c = 
4-2
44
 

T0 find (A+B) C

A + B =
33
47
+
55
07
=
88
414
(A+B) C =
88
414
 
4-2
44
 		= 
32+32-16+32
16+56-8+56
 		= 
6416
7248
 		...(1)

To find AC+ BC

 

AC =
33
47
 
4-2
44
 		= 
12+12-6+12
16+28-8+28
 		= 
246
4420
 

 

BC =
55
07
 
4-2
44
 		= 
20+20-10+20
0+280+28
 		= 
4010
2828
 
AC+BC 
246
4420
 		+ 
4010
2828
 		= 
6416
7248
 		....(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
57
 		B= 
66
09
 		and c = 
1-2
53
 		 

 (A+B)C =

 
Answer: 54 Answer: 9
Answer: 85 Answer: 38
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
57
 		B= 
66
09
 		and c = 
1-2
53
 

T0 find (A+B) C

A + B =
33
57
+
66
09
=
99
516
(A+B) C =
99
516
 
1-2
53
 		= 
9+45-18+27
5+80-10+48
 		= 
549
8538
 		...(1)

To find AC+ BC

 

AC =
33
57
 
1-2
53
 		= 
3+15-6+9
5+35-10+21
 		= 
183
4011
 

 

BC =
66
09
 
1-2
53
 		= 
6+30-12+18
0+450+27
 		= 
366
4527
 
AC+BC 
183
4011
 		+ 
366
4527
 		= 
549
8538
 		....(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= 
58
08
 		and c = 
3-1
53
 		 

 (A+B)C =

 
Answer: 79 Answer: 25
Answer: 66 Answer: 34
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
24
 		B= 
58
08
 		and c = 
3-1
53
 

T0 find (A+B) C

A + B =
33
24
+
58
08
=
811
212
(A+B) C =
811
212
 
3-1
53
 		= 
24+55-8+33
6+60-2+36
 		= 
7925
6634
 		...(1)

To find AC+ BC

 

AC =
33
24
 
3-1
53
 		= 
9+15-3+9
6+20-2+12
 		= 
246
2610
 

 

BC =
58
08
 
3-1
53
 		= 
15+40-5+24
0+400+24
 		= 
5519
4024
 
AC+BC 
246
2610
 		+ 
5519
4024
 		= 
7925
6634
 		....(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
37
 		B= 
66
09
 		and c = 
1-1
33
 		 

 (A+B)C =

 
Answer: 36 Answer: 18
Answer: 51 Answer: 45
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
37
 		B= 
66
09
 		and c = 
1-1
33
 

T0 find (A+B) C

A + B =
33
37
+
66
09
=
99
316
(A+B) C =
99
316
 
1-1
33
 		= 
9+27-9+27
3+48-3+48
 		= 
3618
5145
 		...(1)

To find AC+ BC

 

AC =
33
37
 
1-1
33
 		= 
3+9-3+9
3+21-3+21
 		= 
126
2418
 

 

BC =
66
09
 
1-1
33
 		= 
6+18-6+18
0+270+27
 		= 
2412
2727
 
AC+BC 
126
2418
 		+ 
2412
2727
 		= 
3618
5145
 		....(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
56
 		B= 
57
06
 		and c = 
4-1
34
 		 

 (A+B)C =

 
Answer: 62 Answer: 32
Answer: 56 Answer: 43
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
56
 		B= 
57
06
 		and c = 
4-1
34
 

T0 find (A+B) C

A + B =
33
56
+
57
06
=
810
512
(A+B) C =
810
512
 
4-1
34
 		= 
32+30-8+40
20+36-5+48
 		= 
6232
5643
 		...(1)

To find AC+ BC

 

AC =
33
56
 
4-1
34
 		= 
12+9-3+12
20+18-5+24
 		= 
219
3819
 

 

BC =
57
06
 
4-1
34
 		= 
20+21-5+28
0+180+24
 		= 
4123
1824
 
AC+BC 
219
3819
 		+ 
4123
1824
 		= 
6232
5643
 		....(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
43
 		B= 
56
05
 		and c = 
1-1
34
 		 

 (A+B)C =

 
Answer: 35 Answer: 28
Answer: 28 Answer: 28
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
43
 		B= 
56
05
 		and c = 
1-1
34
 

T0 find (A+B) C

A + B =
33
43
+
56
05
=
89
48
(A+B) C =
89
48
 
1-1
34
 		= 
8+27-8+36
4+24-4+32
 		= 
3528
2828
 		...(1)

To find AC+ BC

 

AC =
33
43
 
1-1
34
 		= 
3+9-3+12
4+9-4+12
 		= 
129
138
 

 

BC =
56
05
 
1-1
34
 		= 
5+18-5+24
0+150+20
 		= 
2319
1520
 
AC+BC 
129
138
 		+ 
2319
1520
 		= 
3528
2828
 		....(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= 
68
07
 		and c = 
4-2
34
 		 

 (A+B)C =

 
Answer: 69 Answer: 26
Answer: 41 Answer: 40
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
24
 		B= 
68
07
 		and c = 
4-2
34
 

T0 find (A+B) C

A + B =
33
24
+
68
07
=
911
211
(A+B) C =
911
211
 
4-2
34
 		= 
36+33-18+44
8+33-4+44
 		= 
6926
4140
 		...(1)

To find AC+ BC

 

AC =
33
24
 
4-2
34
 		= 
12+9-6+12
8+12-4+16
 		= 
216
2012
 

 

BC =
68
07
 
4-2
34
 		= 
24+24-12+32
0+210+28
 		= 
4820
2128
 
AC+BC 
216
2012
 		+ 
4820
2128
 		= 
6926
4140
 		....(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= 
67
09
 		and c = 
3-1
54
 		 

 (A+B)C =

 
Answer: 77 Answer: 31
Answer: 82 Answer: 52
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
45
 		B= 
67
09
 		and c = 
3-1
54
 

T0 find (A+B) C

A + B =
33
45
+
67
09
=
910
414
(A+B) C =
910
414
 
3-1
54
 		= 
27+50-9+40
12+70-4+56
 		= 
7731
8252
 		...(1)

To find AC+ BC

 

AC =
33
45
 
3-1
54
 		= 
9+15-3+12
12+25-4+20
 		= 
249
3716
 

 

BC =
67
09
 
3-1
54
 		= 
18+35-6+28
0+450+36
 		= 
5322
4536
 
AC+BC 
249
3716
 		+ 
5322
4536
 		= 
7731
8252
 		....(2)

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