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= 
65
07
 		and c = 
3-2
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




2)  

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

If  A = 
33
47
 		B= 
68
07
 		and c = 
1-2
33
 		 

 (A+B)C =

 
 
 






Answer:_______________




3)  

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

If  A = 
33
57
 		B= 
65
09
 		and c = 
4-2
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




4)  

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

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

 (A+B)C =

 
 
 






Answer:_______________




5)  

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

If  A = 
33
43
 		B= 
67
08
 		and c = 
2-2
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




6)  

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

If  A = 
33
27
 		B= 
57
05
 		and c = 
2-2
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




7)  

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

If  A = 
33
23
 		B= 
55
06
 		and c = 
3-2
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




8)  

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

If  A = 
33
43
 		B= 
64
08
 		and c = 
4-2
33
 		 

 (A+B)C =

 
 
 






Answer:_______________




9)  

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

If  A = 
33
33
 		B= 
55
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
35
 		B= 
64
08
 		and c = 
3-1
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




 

1)  

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

If  A = 
33
47
 		B= 
65
07
 		and c = 
3-2
44
 		 

 (A+B)C =

 
Answer: 59 Answer: 14
Answer: 68 Answer: 48
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
47
 		B= 
65
07
 		and c = 
3-2
44
 

T0 find (A+B) C

A + B =
33
47
+
65
07
=
98
414
(A+B) C =
98
414
 
3-2
44
 		= 
27+32-18+32
12+56-8+56
 		= 
5914
6848
 		...(1)

To find AC+ BC

 

AC =
33
47
 
3-2
44
 		= 
9+12-6+12
12+28-8+28
 		= 
216
4020
 

 

BC =
65
07
 
3-2
44
 		= 
18+20-12+20
0+280+28
 		= 
388
2828
 
AC+BC 
216
4020
 		+ 
388
2828
 		= 
5914
6848
 		....(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= 
68
07
 		and c = 
1-2
33
 		 

 (A+B)C =

 
Answer: 42 Answer: 15
Answer: 46 Answer: 34
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
47
 		B= 
68
07
 		and c = 
1-2
33
 

T0 find (A+B) C

A + B =
33
47
+
68
07
=
911
414
(A+B) C =
911
414
 
1-2
33
 		= 
9+33-18+33
4+42-8+42
 		= 
4215
4634
 		...(1)

To find AC+ BC

 

AC =
33
47
 
1-2
33
 		= 
3+9-6+9
4+21-8+21
 		= 
123
2513
 

 

BC =
68
07
 
1-2
33
 		= 
6+24-12+24
0+210+21
 		= 
3012
2121
 
AC+BC 
123
2513
 		+ 
3012
2121
 		= 
4215
4634
 		....(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
57
 		B= 
65
09
 		and c = 
4-2
53
 		 

 (A+B)C =

 
Answer: 76 Answer: 6
Answer: 100 Answer: 38
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
57
 		B= 
65
09
 		and c = 
4-2
53
 

T0 find (A+B) C

A + B =
33
57
+
65
09
=
98
516
(A+B) C =
98
516
 
4-2
53
 		= 
36+40-18+24
20+80-10+48
 		= 
766
10038
 		...(1)

To find AC+ BC

 

AC =
33
57
 
4-2
53
 		= 
12+15-6+9
20+35-10+21
 		= 
273
5511
 

 

BC =
65
09
 
4-2
53
 		= 
24+25-12+15
0+450+27
 		= 
493
4527
 
AC+BC 
273
5511
 		+ 
493
4527
 		= 
766
10038
 		....(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
33
 		B= 
66
07
 		and c = 
1-1
23
 		 

 (A+B)C =

 
Answer: 27 Answer: 18
Answer: 23 Answer: 27
 
 






SOLUTION 1 :

 Given:

 

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

T0 find (A+B) C

A + B =
33
33
+
66
07
=
99
310
(A+B) C =
99
310
 
1-1
23
 		= 
9+18-9+27
3+20-3+30
 		= 
2718
2327
 		...(1)

To find AC+ BC

 

AC =
33
33
 
1-1
23
 		= 
3+6-3+9
3+6-3+9
 		= 
96
96
 

 

BC =
66
07
 
1-1
23
 		= 
6+12-6+18
0+140+21
 		= 
1812
1421
 
AC+BC 
96
96
 		+ 
1812
1421
 		= 
2718
2327
 		....(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= 
67
08
 		and c = 
2-2
54
 		 

 (A+B)C =

 
Answer: 68 Answer: 22
Answer: 63 Answer: 36
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
43
 		B= 
67
08
 		and c = 
2-2
54
 

T0 find (A+B) C

A + B =
33
43
+
67
08
=
910
411
(A+B) C =
910
411
 
2-2
54
 		= 
18+50-18+40
8+55-8+44
 		= 
6822
6336
 		...(1)

To find AC+ BC

 

AC =
33
43
 
2-2
54
 		= 
6+15-6+12
8+15-8+12
 		= 
216
234
 

 

BC =
67
08
 
2-2
54
 		= 
12+35-12+28
0+400+32
 		= 
4716
4032
 
AC+BC 
216
234
 		+ 
4716
4032
 		= 
6822
6336
 		....(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
27
 		B= 
57
05
 		and c = 
2-2
23
 		 

 (A+B)C =

 
Answer: 36 Answer: 14
Answer: 28 Answer: 32
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
27
 		B= 
57
05
 		and c = 
2-2
23
 

T0 find (A+B) C

A + B =
33
27
+
57
05
=
810
212
(A+B) C =
810
212
 
2-2
23
 		= 
16+20-16+30
4+24-4+36
 		= 
3614
2832
 		...(1)

To find AC+ BC

 

AC =
33
27
 
2-2
23
 		= 
6+6-6+9
4+14-4+21
 		= 
123
1817
 

 

BC =
57
05
 
2-2
23
 		= 
10+14-10+21
0+100+15
 		= 
2411
1015
 
AC+BC 
123
1817
 		+ 
2411
1015
 		= 
3614
2832
 		....(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
23
 		B= 
55
06
 		and c = 
3-2
23
 		 

 (A+B)C =

 
Answer: 40 Answer: 8
Answer: 24 Answer: 23
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
23
 		B= 
55
06
 		and c = 
3-2
23
 

T0 find (A+B) C

A + B =
33
23
+
55
06
=
88
29
(A+B) C =
88
29
 
3-2
23
 		= 
24+16-16+24
6+18-4+27
 		= 
408
2423
 		...(1)

To find AC+ BC

 

AC =
33
23
 
3-2
23
 		= 
9+6-6+9
6+6-4+9
 		= 
153
125
 

 

BC =
55
06
 
3-2
23
 		= 
15+10-10+15
0+120+18
 		= 
255
1218
 
AC+BC 
153
125
 		+ 
255
1218
 		= 
408
2423
 		....(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= 
64
08
 		and c = 
4-2
33
 		 

 (A+B)C =

 
Answer: 57 Answer: 3
Answer: 49 Answer: 25
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
43
 		B= 
64
08
 		and c = 
4-2
33
 

T0 find (A+B) C

A + B =
33
43
+
64
08
=
97
411
(A+B) C =
97
411
 
4-2
33
 		= 
36+21-18+21
16+33-8+33
 		= 
573
4925
 		...(1)

To find AC+ BC

 

AC =
33
43
 
4-2
33
 		= 
12+9-6+9
16+9-8+9
 		= 
213
251
 

 

BC =
64
08
 
4-2
33
 		= 
24+12-12+12
0+240+24
 		= 
360
2424
 
AC+BC 
213
251
 		+ 
360
2424
 		= 
573
4925
 		....(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
33
 		B= 
55
07
 		and c = 
4-2
34
 		 

 (A+B)C =

 
Answer: 56 Answer: 16
Answer: 42 Answer: 34
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
33
 		B= 
55
07
 		and c = 
4-2
34
 

T0 find (A+B) C

A + B =
33
33
+
55
07
=
88
310
(A+B) C =
88
310
 
4-2
34
 		= 
32+24-16+32
12+30-6+40
 		= 
5616
4234
 		...(1)

To find AC+ BC

 

AC =
33
33
 
4-2
34
 		= 
12+9-6+12
12+9-6+12
 		= 
216
216
 

 

BC =
55
07
 
4-2
34
 		= 
20+15-10+20
0+210+28
 		= 
3510
2128
 
AC+BC 
216
216
 		+ 
3510
2128
 		= 
5616
4234
 		....(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= 
64
08
 		and c = 
3-1
43
 		 

 (A+B)C =

 
Answer: 55 Answer: 12
Answer: 61 Answer: 36
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
35
 		B= 
64
08
 		and c = 
3-1
43
 

T0 find (A+B) C

A + B =
33
35
+
64
08
=
97
313
(A+B) C =
97
313
 
3-1
43
 		= 
27+28-9+21
9+52-3+39
 		= 
5512
6136
 		...(1)

To find AC+ BC

 

AC =
33
35
 
3-1
43
 		= 
9+12-3+9
9+20-3+15
 		= 
216
2912
 

 

BC =
64
08
 
3-1
43
 		= 
18+16-6+12
0+320+24
 		= 
346
3224
 
AC+BC 
216
2912
 		+ 
346
3224
 		= 
5512
6136
 		....(2)

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