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
47
 		B= 
64
07
 		and c = 
4-2
34
 		 

 (A+B)C =

 
 
 






Answer:_______________




2)  

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

If  A = 
33
55
 		B= 
67
08
 		and c = 
4-2
24
 		 

 (A+B)C =

 
 
 






Answer:_______________




3)  

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

If  A = 
33
27
 		B= 
58
08
 		and c = 
1-2
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




4)  

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

If  A = 
33
37
 		B= 
54
09
 		and c = 
4-2
33
 		 

 (A+B)C =

 
 
 






Answer:_______________




5)  

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

If  A = 
33
43
 		B= 
55
05
 		and c = 
1-2
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




6)  

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

If  A = 
33
53
 		B= 
54
08
 		and c = 
2-2
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




7)  

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

If  A = 
33
44
 		B= 
64
08
 		and c = 
1-2
24
 		 

 (A+B)C =

 
 
 






Answer:_______________




8)  

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

If  A = 
33
56
 		B= 
66
09
 		and c = 
4-1
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




9)  

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

If  A = 
33
45
 		B= 
54
06
 		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
33
 		B= 
57
06
 		and c = 
2-2
34
 		 

 (A+B)C =

 
 
 






Answer:_______________




 

1)  

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

If  A = 
33
47
 		B= 
64
07
 		and c = 
4-2
34
 		 

 (A+B)C =

 
Answer: 57 Answer: 10
Answer: 58 Answer: 48
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
47
 		B= 
64
07
 		and c = 
4-2
34
 

T0 find (A+B) C

A + B =
33
47
+
64
07
=
97
414
(A+B) C =
97
414
 
4-2
34
 		= 
36+21-18+28
16+42-8+56
 		= 
5710
5848
 		...(1)

To find AC+ BC

 

AC =
33
47
 
4-2
34
 		= 
12+9-6+12
16+21-8+28
 		= 
216
3720
 

 

BC =
64
07
 
4-2
34
 		= 
24+12-12+16
0+210+28
 		= 
364
2128
 
AC+BC 
216
3720
 		+ 
364
2128
 		= 
5710
5848
 		....(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
08
 		and c = 
4-2
24
 		 

 (A+B)C =

 
Answer: 56 Answer: 22
Answer: 46 Answer: 42
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
55
 		B= 
67
08
 		and c = 
4-2
24
 

T0 find (A+B) C

A + B =
33
55
+
67
08
=
910
513
(A+B) C =
910
513
 
4-2
24
 		= 
36+20-18+40
20+26-10+52
 		= 
5622
4642
 		...(1)

To find AC+ BC

 

AC =
33
55
 
4-2
24
 		= 
12+6-6+12
20+10-10+20
 		= 
186
3010
 

 

BC =
67
08
 
4-2
24
 		= 
24+14-12+28
0+160+32
 		= 
3816
1632
 
AC+BC 
186
3010
 		+ 
3816
1632
 		= 
5622
4642
 		....(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= 
58
08
 		and c = 
1-2
23
 		 

 (A+B)C =

 
Answer: 30 Answer: 17
Answer: 32 Answer: 41
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
27
 		B= 
58
08
 		and c = 
1-2
23
 

T0 find (A+B) C

A + B =
33
27
+
58
08
=
811
215
(A+B) C =
811
215
 
1-2
23
 		= 
8+22-16+33
2+30-4+45
 		= 
3017
3241
 		...(1)

To find AC+ BC

 

AC =
33
27
 
1-2
23
 		= 
3+6-6+9
2+14-4+21
 		= 
93
1617
 

 

BC =
58
08
 
1-2
23
 		= 
5+16-10+24
0+160+24
 		= 
2114
1624
 
AC+BC 
93
1617
 		+ 
2114
1624
 		= 
3017
3241
 		....(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
37
 		B= 
54
09
 		and c = 
4-2
33
 		 

 (A+B)C =

 
Answer: 53 Answer: 5
Answer: 60 Answer: 42
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
37
 		B= 
54
09
 		and c = 
4-2
33
 

T0 find (A+B) C

A + B =
33
37
+
54
09
=
87
316
(A+B) C =
87
316
 
4-2
33
 		= 
32+21-16+21
12+48-6+48
 		= 
535
6042
 		...(1)

To find AC+ BC

 

AC =
33
37
 
4-2
33
 		= 
12+9-6+9
12+21-6+21
 		= 
213
3315
 

 

BC =
54
09
 
4-2
33
 		= 
20+12-10+12
0+270+27
 		= 
322
2727
 
AC+BC 
213
3315
 		+ 
322
2727
 		= 
535
6042
 		....(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
43
 		B= 
55
05
 		and c = 
1-2
43
 		 

 (A+B)C =

 
Answer: 40 Answer: 8
Answer: 36 Answer: 16
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
43
 		B= 
55
05
 		and c = 
1-2
43
 

T0 find (A+B) C

A + B =
33
43
+
55
05
=
88
48
(A+B) C =
88
48
 
1-2
43
 		= 
8+32-16+24
4+32-8+24
 		= 
408
3616
 		...(1)

To find AC+ BC

 

AC =
33
43
 
1-2
43
 		= 
3+12-6+9
4+12-8+9
 		= 
153
161
 

 

BC =
55
05
 
1-2
43
 		= 
5+20-10+15
0+200+15
 		= 
255
2015
 
AC+BC 
153
161
 		+ 
255
2015
 		= 
408
3616
 		....(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= 
54
08
 		and c = 
2-2
43
 		 

 (A+B)C =

 
Answer: 44 Answer: 5
Answer: 54 Answer: 23
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
53
 		B= 
54
08
 		and c = 
2-2
43
 

T0 find (A+B) C

A + B =
33
53
+
54
08
=
87
511
(A+B) C =
87
511
 
2-2
43
 		= 
16+28-16+21
10+44-10+33
 		= 
445
5423
 		...(1)

To find AC+ BC

 

AC =
33
53
 
2-2
43
 		= 
6+12-6+9
10+12-10+9
 		= 
183
22-1
 

 

BC =
54
08
 
2-2
43
 		= 
10+16-10+12
0+320+24
 		= 
262
3224
 
AC+BC 
183
22-1
 		+ 
262
3224
 		= 
445
5423
 		....(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
44
 		B= 
64
08
 		and c = 
1-2
24
 		 

 (A+B)C =

 
Answer: 23 Answer: 10
Answer: 28 Answer: 40
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
44
 		B= 
64
08
 		and c = 
1-2
24
 

T0 find (A+B) C

A + B =
33
44
+
64
08
=
97
412
(A+B) C =
97
412
 
1-2
24
 		= 
9+14-18+28
4+24-8+48
 		= 
2310
2840
 		...(1)

To find AC+ BC

 

AC =
33
44
 
1-2
24
 		= 
3+6-6+12
4+8-8+16
 		= 
96
128
 

 

BC =
64
08
 
1-2
24
 		= 
6+8-12+16
0+160+32
 		= 
144
1632
 
AC+BC 
96
128
 		+ 
144
1632
 		= 
2310
2840
 		....(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
09
 		and c = 
4-1
23
 		 

 (A+B)C =

 
Answer: 54 Answer: 18
Answer: 50 Answer: 40
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
56
 		B= 
66
09
 		and c = 
4-1
23
 

T0 find (A+B) C

A + B =
33
56
+
66
09
=
99
515
(A+B) C =
99
515
 
4-1
23
 		= 
36+18-9+27
20+30-5+45
 		= 
5418
5040
 		...(1)

To find AC+ BC

 

AC =
33
56
 
4-1
23
 		= 
12+6-3+9
20+12-5+18
 		= 
186
3213
 

 

BC =
66
09
 
4-1
23
 		= 
24+12-6+18
0+180+27
 		= 
3612
1827
 
AC+BC 
186
3213
 		+ 
3612
1827
 		= 
5418
5040
 		....(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
45
 		B= 
54
06
 		and c = 
4-1
54
 		 

 (A+B)C =

 
Answer: 67 Answer: 20
Answer: 71 Answer: 40
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
45
 		B= 
54
06
 		and c = 
4-1
54
 

T0 find (A+B) C

A + B =
33
45
+
54
06
=
87
411
(A+B) C =
87
411
 
4-1
54
 		= 
32+35-8+28
16+55-4+44
 		= 
6720
7140
 		...(1)

To find AC+ BC

 

AC =
33
45
 
4-1
54
 		= 
12+15-3+12
16+25-4+20
 		= 
279
4116
 

 

BC =
54
06
 
4-1
54
 		= 
20+20-5+16
0+300+24
 		= 
4011
3024
 
AC+BC 
279
4116
 		+ 
4011
3024
 		= 
6720
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
33
 		B= 
57
06
 		and c = 
2-2
34
 		 

 (A+B)C =

 
Answer: 46 Answer: 24
Answer: 33 Answer: 30
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
33
 		B= 
57
06
 		and c = 
2-2
34
 

T0 find (A+B) C

A + B =
33
33
+
57
06
=
810
39
(A+B) C =
810
39
 
2-2
34
 		= 
16+30-16+40
6+27-6+36
 		= 
4624
3330
 		...(1)

To find AC+ BC

 

AC =
33
33
 
2-2
34
 		= 
6+9-6+12
6+9-6+12
 		= 
156
156
 

 

BC =
57
06
 
2-2
34
 		= 
10+21-10+28
0+180+24
 		= 
3118
1824
 
AC+BC 
156
156
 		+ 
3118
1824
 		= 
4624
3330
 		....(2)

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