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
45
 		B= 
57
06
 		and c = 
2-2
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
06
 		and c = 
4-1
34
 		 

 (A+B)C =

 
 
 






Answer:_______________




3)  

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

If  A = 
33
27
 		B= 
67
07
 		and c = 
1-1
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




4)  

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

If  A = 
33
26
 		B= 
57
06
 		and c = 
1-1
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




5)  

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

If  A = 
33
35
 		B= 
56
09
 		and c = 
2-2
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




6)  

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

If  A = 
33
47
 		B= 
57
09
 		and c = 
1-2
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




7)  

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

If  A = 
33
33
 		B= 
65
08
 		and c = 
1-1
33
 		 

 (A+B)C =

 
 
 






Answer:_______________




8)  

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

If  A = 
33
56
 		B= 
66
07
 		and c = 
3-1
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




9)  

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

If  A = 
33
24
 		B= 
56
08
 		and c = 
3-1
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




10)  

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

If  A = 
33
34
 		B= 
58
07
 		and c = 
4-1
34
 		 

 (A+B)C =

 
 
 






Answer:_______________




 

1)  

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

If  A = 
33
45
 		B= 
57
06
 		and c = 
2-2
53
 		 

 (A+B)C =

 
Answer: 66 Answer: 14
Answer: 63 Answer: 25
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
45
 		B= 
57
06
 		and c = 
2-2
53
 

T0 find (A+B) C

A + B =
33
45
+
57
06
=
810
411
(A+B) C =
810
411
 
2-2
53
 		= 
16+50-16+30
8+55-8+33
 		= 
6614
6325
 		...(1)

To find AC+ BC

 

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

 

BC =
57
06
 
2-2
53
 		= 
10+35-10+21
0+300+18
 		= 
4511
3018
 
AC+BC 
213
337
 		+ 
4511
3018
 		= 
6614
6325
 		....(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
06
 		and c = 
4-1
34
 		 

 (A+B)C =

 
Answer: 57 Answer: 19
Answer: 44 Answer: 46
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
26
 		B= 
64
06
 		and c = 
4-1
34
 

T0 find (A+B) C

A + B =
33
26
+
64
06
=
97
212
(A+B) C =
97
212
 
4-1
34
 		= 
36+21-9+28
8+36-2+48
 		= 
5719
4446
 		...(1)

To find AC+ BC

 

AC =
33
26
 
4-1
34
 		= 
12+9-3+12
8+18-2+24
 		= 
219
2622
 

 

BC =
64
06
 
4-1
34
 		= 
24+12-6+16
0+180+24
 		= 
3610
1824
 
AC+BC 
219
2622
 		+ 
3610
1824
 		= 
5719
4446
 		....(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= 
67
07
 		and c = 
1-1
53
 		 

 (A+B)C =

 
Answer: 59 Answer: 21
Answer: 72 Answer: 40
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
27
 		B= 
67
07
 		and c = 
1-1
53
 

T0 find (A+B) C

A + B =
33
27
+
67
07
=
910
214
(A+B) C =
910
214
 
1-1
53
 		= 
9+50-9+30
2+70-2+42
 		= 
5921
7240
 		...(1)

To find AC+ BC

 

AC =
33
27
 
1-1
53
 		= 
3+15-3+9
2+35-2+21
 		= 
186
3719
 

 

BC =
67
07
 
1-1
53
 		= 
6+35-6+21
0+350+21
 		= 
4115
3521
 
AC+BC 
186
3719
 		+ 
4115
3521
 		= 
5921
7240
 		....(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= 
57
06
 		and c = 
1-1
44
 		 

 (A+B)C =

 
Answer: 48 Answer: 32
Answer: 50 Answer: 46
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
26
 		B= 
57
06
 		and c = 
1-1
44
 

T0 find (A+B) C

A + B =
33
26
+
57
06
=
810
212
(A+B) C =
810
212
 
1-1
44
 		= 
8+40-8+40
2+48-2+48
 		= 
4832
5046
 		...(1)

To find AC+ BC

 

AC =
33
26
 
1-1
44
 		= 
3+12-3+12
2+24-2+24
 		= 
159
2622
 

 

BC =
57
06
 
1-1
44
 		= 
5+28-5+28
0+240+24
 		= 
3323
2424
 
AC+BC 
159
2622
 		+ 
3323
2424
 		= 
4832
5046
 		....(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
35
 		B= 
56
09
 		and c = 
2-2
43
 		 

 (A+B)C =

 
Answer: 52 Answer: 11
Answer: 62 Answer: 36
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
35
 		B= 
56
09
 		and c = 
2-2
43
 

T0 find (A+B) C

A + B =
33
35
+
56
09
=
89
314
(A+B) C =
89
314
 
2-2
43
 		= 
16+36-16+27
6+56-6+42
 		= 
5211
6236
 		...(1)

To find AC+ BC

 

AC =
33
35
 
2-2
43
 		= 
6+12-6+9
6+20-6+15
 		= 
183
269
 

 

BC =
56
09
 
2-2
43
 		= 
10+24-10+18
0+360+27
 		= 
348
3627
 
AC+BC 
183
269
 		+ 
348
3627
 		= 
5211
6236
 		....(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
47
 		B= 
57
09
 		and c = 
1-2
43
 		 

 (A+B)C =

 
Answer: 48 Answer: 14
Answer: 68 Answer: 40
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
47
 		B= 
57
09
 		and c = 
1-2
43
 

T0 find (A+B) C

A + B =
33
47
+
57
09
=
810
416
(A+B) C =
810
416
 
1-2
43
 		= 
8+40-16+30
4+64-8+48
 		= 
4814
6840
 		...(1)

To find AC+ BC

 

AC =
33
47
 
1-2
43
 		= 
3+12-6+9
4+28-8+21
 		= 
153
3213
 

 

BC =
57
09
 
1-2
43
 		= 
5+28-10+21
0+360+27
 		= 
3311
3627
 
AC+BC 
153
3213
 		+ 
3311
3627
 		= 
4814
6840
 		....(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= 
65
08
 		and c = 
1-1
33
 		 

 (A+B)C =

 
Answer: 33 Answer: 15
Answer: 36 Answer: 30
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
33
 		B= 
65
08
 		and c = 
1-1
33
 

T0 find (A+B) C

A + B =
33
33
+
65
08
=
98
311
(A+B) C =
98
311
 
1-1
33
 		= 
9+24-9+24
3+33-3+33
 		= 
3315
3630
 		...(1)

To find AC+ BC

 

AC =
33
33
 
1-1
33
 		= 
3+9-3+9
3+9-3+9
 		= 
126
126
 

 

BC =
65
08
 
1-1
33
 		= 
6+15-6+15
0+240+24
 		= 
219
2424
 
AC+BC 
126
126
 		+ 
219
2424
 		= 
3315
3630
 		....(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
56
 		B= 
66
07
 		and c = 
3-1
23
 		 

 (A+B)C =

 
Answer: 45 Answer: 18
Answer: 41 Answer: 34
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
56
 		B= 
66
07
 		and c = 
3-1
23
 

T0 find (A+B) C

A + B =
33
56
+
66
07
=
99
513
(A+B) C =
99
513
 
3-1
23
 		= 
27+18-9+27
15+26-5+39
 		= 
4518
4134
 		...(1)

To find AC+ BC

 

AC =
33
56
 
3-1
23
 		= 
9+6-3+9
15+12-5+18
 		= 
156
2713
 

 

BC =
66
07
 
3-1
23
 		= 
18+12-6+18
0+140+21
 		= 
3012
1421
 
AC+BC 
156
2713
 		+ 
3012
1421
 		= 
4518
4134
 		....(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= 
56
08
 		and c = 
3-1
23
 		 

 (A+B)C =

 
Answer: 42 Answer: 19
Answer: 30 Answer: 34
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
24
 		B= 
56
08
 		and c = 
3-1
23
 

T0 find (A+B) C

A + B =
33
24
+
56
08
=
89
212
(A+B) C =
89
212
 
3-1
23
 		= 
24+18-8+27
6+24-2+36
 		= 
4219
3034
 		...(1)

To find AC+ BC

 

AC =
33
24
 
3-1
23
 		= 
9+6-3+9
6+8-2+12
 		= 
156
1410
 

 

BC =
56
08
 
3-1
23
 		= 
15+12-5+18
0+160+24
 		= 
2713
1624
 
AC+BC 
156
1410
 		+ 
2713
1624
 		= 
4219
3034
 		....(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
34
 		B= 
58
07
 		and c = 
4-1
34
 		 

 (A+B)C =

 
Answer: 65 Answer: 36
Answer: 45 Answer: 41
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
34
 		B= 
58
07
 		and c = 
4-1
34
 

T0 find (A+B) C

A + B =
33
34
+
58
07
=
811
311
(A+B) C =
811
311
 
4-1
34
 		= 
32+33-8+44
12+33-3+44
 		= 
6536
4541
 		...(1)

To find AC+ BC

 

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

 

BC =
58
07
 
4-1
34
 		= 
20+24-5+32
0+210+28
 		= 
4427
2128
 
AC+BC 
219
2413
 		+ 
4427
2128
 		= 
6536
4541
 		....(2)

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