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
35
 		B= 
54
05
 		and c = 
2-2
24
 		 

 (A+B)C =

 
 
 






Answer:_______________




2)  

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

If  A = 
33
47
 		B= 
66
05
 		and c = 
4-1
24
 		 

 (A+B)C =

 
 
 






Answer:_______________




3)  

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

If  A = 
33
43
 		B= 
67
06
 		and c = 
1-1
33
 		 

 (A+B)C =

 
 
 






Answer:_______________




4)  

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

If  A = 
33
47
 		B= 
57
07
 		and c = 
1-2
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




5)  

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

If  A = 
33
25
 		B= 
64
08
 		and c = 
1-2
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




6)  

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

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

 (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 = 
3-1
33
 		 

 (A+B)C =

 
 
 






Answer:_______________




8)  

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

If  A = 
33
44
 		B= 
65
06
 		and c = 
3-1
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




9)  

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

If  A = 
33
44
 		B= 
68
05
 		and c = 
3-2
33
 		 

 (A+B)C =

 
 
 






Answer:_______________




10)  

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

If  A = 
33
36
 		B= 
57
08
 		and c = 
3-1
33
 		 

 (A+B)C =

 
 
 






Answer:_______________




 

1)  

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

If  A = 
33
35
 		B= 
54
05
 		and c = 
2-2
24
 		 

 (A+B)C =

 
Answer: 30 Answer: 12
Answer: 26 Answer: 34
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
35
 		B= 
54
05
 		and c = 
2-2
24
 

T0 find (A+B) C

A + B =
33
35
+
54
05
=
87
310
(A+B) C =
87
310
 
2-2
24
 		= 
16+14-16+28
6+20-6+40
 		= 
3012
2634
 		...(1)

To find AC+ BC

 

AC =
33
35
 
2-2
24
 		= 
6+6-6+12
6+10-6+20
 		= 
126
1614
 

 

BC =
54
05
 
2-2
24
 		= 
10+8-10+16
0+100+20
 		= 
186
1020
 
AC+BC 
126
1614
 		+ 
186
1020
 		= 
3012
2634
 		....(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
47
 		B= 
66
05
 		and c = 
4-1
24
 		 

 (A+B)C =

 
Answer: 54 Answer: 27
Answer: 40 Answer: 44
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
47
 		B= 
66
05
 		and c = 
4-1
24
 

T0 find (A+B) C

A + B =
33
47
+
66
05
=
99
412
(A+B) C =
99
412
 
4-1
24
 		= 
36+18-9+36
16+24-4+48
 		= 
5427
4044
 		...(1)

To find AC+ BC

 

AC =
33
47
 
4-1
24
 		= 
12+6-3+12
16+14-4+28
 		= 
189
3024
 

 

BC =
66
05
 
4-1
24
 		= 
24+12-6+24
0+100+20
 		= 
3618
1020
 
AC+BC 
189
3024
 		+ 
3618
1020
 		= 
5427
4044
 		....(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
43
 		B= 
67
06
 		and c = 
1-1
33
 		 

 (A+B)C =

 
Answer: 39 Answer: 21
Answer: 31 Answer: 23
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
43
 		B= 
67
06
 		and c = 
1-1
33
 

T0 find (A+B) C

A + B =
33
43
+
67
06
=
910
49
(A+B) C =
910
49
 
1-1
33
 		= 
9+30-9+30
4+27-4+27
 		= 
3921
3123
 		...(1)

To find AC+ BC

 

AC =
33
43
 
1-1
33
 		= 
3+9-3+9
4+9-4+9
 		= 
126
135
 

 

BC =
67
06
 
1-1
33
 		= 
6+21-6+21
0+180+18
 		= 
2715
1818
 
AC+BC 
126
135
 		+ 
2715
1818
 		= 
3921
3123
 		....(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
47
 		B= 
57
07
 		and c = 
1-2
54
 		 

 (A+B)C =

 
Answer: 58 Answer: 24
Answer: 74 Answer: 48
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
47
 		B= 
57
07
 		and c = 
1-2
54
 

T0 find (A+B) C

A + B =
33
47
+
57
07
=
810
414
(A+B) C =
810
414
 
1-2
54
 		= 
8+50-16+40
4+70-8+56
 		= 
5824
7448
 		...(1)

To find AC+ BC

 

AC =
33
47
 
1-2
54
 		= 
3+15-6+12
4+35-8+28
 		= 
186
3920
 

 

BC =
57
07
 
1-2
54
 		= 
5+35-10+28
0+350+28
 		= 
4018
3528
 
AC+BC 
186
3920
 		+ 
4018
3528
 		= 
5824
7448
 		....(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
25
 		B= 
64
08
 		and c = 
1-2
44
 		 

 (A+B)C =

 
Answer: 37 Answer: 10
Answer: 54 Answer: 48
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
25
 		B= 
64
08
 		and c = 
1-2
44
 

T0 find (A+B) C

A + B =
33
25
+
64
08
=
97
213
(A+B) C =
97
213
 
1-2
44
 		= 
9+28-18+28
2+52-4+52
 		= 
3710
5448
 		...(1)

To find AC+ BC

 

AC =
33
25
 
1-2
44
 		= 
3+12-6+12
2+20-4+20
 		= 
156
2216
 

 

BC =
64
08
 
1-2
44
 		= 
6+16-12+16
0+320+32
 		= 
224
3232
 
AC+BC 
156
2216
 		+ 
224
3232
 		= 
3710
5448
 		....(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
53
 		B= 
56
07
 		and c = 
2-2
33
 		 

 (A+B)C =

 
Answer: 43 Answer: 11
Answer: 40 Answer: 20
 
 






SOLUTION 1 :

 Given:

 

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

T0 find (A+B) C

A + B =
33
53
+
56
07
=
89
510
(A+B) C =
89
510
 
2-2
33
 		= 
16+27-16+27
10+30-10+30
 		= 
4311
4020
 		...(1)

To find AC+ BC

 

AC =
33
53
 
2-2
33
 		= 
6+9-6+9
10+9-10+9
 		= 
153
19-1
 

 

BC =
56
07
 
2-2
33
 		= 
10+18-10+18
0+210+21
 		= 
288
2121
 
AC+BC 
153
19-1
 		+ 
288
2121
 		= 
4311
4020
 		....(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 = 
3-1
33
 		 

 (A+B)C =

 
Answer: 57 Answer: 25
Answer: 42 Answer: 30
 
 






SOLUTION 1 :

 Given:

 

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

T0 find (A+B) C

A + B =
33
33
+
58
08
=
811
311
(A+B) C =
811
311
 
3-1
33
 		= 
24+33-8+33
9+33-3+33
 		= 
5725
4230
 		...(1)

To find AC+ BC

 

AC =
33
33
 
3-1
33
 		= 
9+9-3+9
9+9-3+9
 		= 
186
186
 

 

BC =
58
08
 
3-1
33
 		= 
15+24-5+24
0+240+24
 		= 
3919
2424
 
AC+BC 
186
186
 		+ 
3919
2424
 		= 
5725
4230
 		....(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= 
65
06
 		and c = 
3-1
54
 		 

 (A+B)C =

 
Answer: 67 Answer: 23
Answer: 62 Answer: 36
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
44
 		B= 
65
06
 		and c = 
3-1
54
 

T0 find (A+B) C

A + B =
33
44
+
65
06
=
98
410
(A+B) C =
98
410
 
3-1
54
 		= 
27+40-9+32
12+50-4+40
 		= 
6723
6236
 		...(1)

To find AC+ BC

 

AC =
33
44
 
3-1
54
 		= 
9+15-3+12
12+20-4+16
 		= 
249
3212
 

 

BC =
65
06
 
3-1
54
 		= 
18+25-6+20
0+300+24
 		= 
4314
3024
 
AC+BC 
249
3212
 		+ 
4314
3024
 		= 
6723
6236
 		....(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
44
 		B= 
68
05
 		and c = 
3-2
33
 		 

 (A+B)C =

 
Answer: 60 Answer: 15
Answer: 39 Answer: 19
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
44
 		B= 
68
05
 		and c = 
3-2
33
 

T0 find (A+B) C

A + B =
33
44
+
68
05
=
911
49
(A+B) C =
911
49
 
3-2
33
 		= 
27+33-18+33
12+27-8+27
 		= 
6015
3919
 		...(1)

To find AC+ BC

 

AC =
33
44
 
3-2
33
 		= 
9+9-6+9
12+12-8+12
 		= 
183
244
 

 

BC =
68
05
 
3-2
33
 		= 
18+24-12+24
0+150+15
 		= 
4212
1515
 
AC+BC 
183
244
 		+ 
4212
1515
 		= 
6015
3919
 		....(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
36
 		B= 
57
08
 		and c = 
3-1
33
 		 

 (A+B)C =

 
Answer: 54 Answer: 22
Answer: 51 Answer: 39
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
36
 		B= 
57
08
 		and c = 
3-1
33
 

T0 find (A+B) C

A + B =
33
36
+
57
08
=
810
314
(A+B) C =
810
314
 
3-1
33
 		= 
24+30-8+30
9+42-3+42
 		= 
5422
5139
 		...(1)

To find AC+ BC

 

AC =
33
36
 
3-1
33
 		= 
9+9-3+9
9+18-3+18
 		= 
186
2715
 

 

BC =
57
08
 
3-1
33
 		= 
15+21-5+21
0+240+24
 		= 
3616
2424
 
AC+BC 
186
2715
 		+ 
3616
2424
 		= 
5422
5139
 		....(2)

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