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
37
 
B= 
66
07
 
and c = 
1-2
34
 
 

 (A+B)C =

 
 
 






Answer:_______________




2)  

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

If  A = 
33
44
 
B= 
67
06
 
and c = 
1-2
54
 
 

 (A+B)C =

 
 
 






Answer:_______________




3)  

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

If  A = 
33
53
 
B= 
68
08
 
and c = 
3-1
24
 
 

 (A+B)C =

 
 
 






Answer:_______________




4)  

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

If  A = 
33
26
 
B= 
64
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
45
 
B= 
54
07
 
and c = 
1-1
54
 
 

 (A+B)C =

 
 
 






Answer:_______________




6)  

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

If  A = 
33
45
 
B= 
66
08
 
and c = 
1-1
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
07
 
and c = 
2-2
24
 
 

 (A+B)C =

 
 
 






Answer:_______________




8)  

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

If  A = 
33
53
 
B= 
64
07
 
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
35
 
B= 
67
07
 
and c = 
2-1
54
 
 

 (A+B)C =

 
 
 






Answer:_______________




10)  

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

If  A = 
33
57
 
B= 
58
07
 
and c = 
2-1
34
 
 

 (A+B)C =

 
 
 






Answer:_______________




 

1)  

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

If  A = 
33
37
 
B= 
66
07
 
and c = 
1-2
34
 
 

 (A+B)C =

 
Answer: 36 Answer: 18
Answer: 45 Answer: 50
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
37
 
B= 
66
07
 
and c = 
1-2
34
 

T0 find (A+B) C

A + B =
33
37
+
66
07
=
99
314
(A+B) C =
99
314
 
1-2
34
 
= 
9+27-18+36
3+42-6+56
 
= 
3618
4550
 
...(1)

To find AC+ BC

 

AC =
33
37
 
1-2
34
 
= 
3+9-6+12
3+21-6+28
 
= 
126
2422
 

 

BC =
66
07
 
1-2
34
 
= 
6+18-12+24
0+210+28
 
= 
2412
2128
 
AC+BC 
126
2422
 
+ 
2412
2128
 
= 
3618
4550
 
....(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
44
 
B= 
67
06
 
and c = 
1-2
54
 
 

 (A+B)C =

 
Answer: 59 Answer: 22
Answer: 54 Answer: 32
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
44
 
B= 
67
06
 
and c = 
1-2
54
 

T0 find (A+B) C

A + B =
33
44
+
67
06
=
910
410
(A+B) C =
910
410
 
1-2
54
 
= 
9+50-18+40
4+50-8+40
 
= 
5922
5432
 
...(1)

To find AC+ BC

 

AC =
33
44
 
1-2
54
 
= 
3+15-6+12
4+20-8+16
 
= 
186
248
 

 

BC =
67
06
 
1-2
54
 
= 
6+35-12+28
0+300+24
 
= 
4116
3024
 
AC+BC 
186
248
 
+ 
4116
3024
 
= 
5922
5432
 
....(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
53
 
B= 
68
08
 
and c = 
3-1
24
 
 

 (A+B)C =

 
Answer: 49 Answer: 35
Answer: 37 Answer: 39
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
53
 
B= 
68
08
 
and c = 
3-1
24
 

T0 find (A+B) C

A + B =
33
53
+
68
08
=
911
511
(A+B) C =
911
511
 
3-1
24
 
= 
27+22-9+44
15+22-5+44
 
= 
4935
3739
 
...(1)

To find AC+ BC

 

AC =
33
53
 
3-1
24
 
= 
9+6-3+12
15+6-5+12
 
= 
159
217
 

 

BC =
68
08
 
3-1
24
 
= 
18+16-6+32
0+160+32
 
= 
3426
1632
 
AC+BC 
159
217
 
+ 
3426
1632
 
= 
4935
3739
 
....(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= 
64
09
 
and c = 
1-2
53
 
 

 (A+B)C =

 
Answer: 44 Answer: 3
Answer: 77 Answer: 41
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
26
 
B= 
64
09
 
and c = 
1-2
53
 

T0 find (A+B) C

A + B =
33
26
+
64
09
=
97
215
(A+B) C =
97
215
 
1-2
53
 
= 
9+35-18+21
2+75-4+45
 
= 
443
7741
 
...(1)

To find AC+ BC

 

AC =
33
26
 
1-2
53
 
= 
3+15-6+9
2+30-4+18
 
= 
183
3214
 

 

BC =
64
09
 
1-2
53
 
= 
6+20-12+12
0+450+27
 
= 
260
4527
 
AC+BC 
183
3214
 
+ 
260
4527
 
= 
443
7741
 
....(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
45
 
B= 
54
07
 
and c = 
1-1
54
 
 

 (A+B)C =

 
Answer: 43 Answer: 20
Answer: 64 Answer: 44
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
45
 
B= 
54
07
 
and c = 
1-1
54
 

T0 find (A+B) C

A + B =
33
45
+
54
07
=
87
412
(A+B) C =
87
412
 
1-1
54
 
= 
8+35-8+28
4+60-4+48
 
= 
4320
6444
 
...(1)

To find AC+ BC

 

AC =
33
45
 
1-1
54
 
= 
3+15-3+12
4+25-4+20
 
= 
189
2916
 

 

BC =
54
07
 
1-1
54
 
= 
5+20-5+16
0+350+28
 
= 
2511
3528
 
AC+BC 
189
2916
 
+ 
2511
3528
 
= 
4320
6444
 
....(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
45
 
B= 
66
08
 
and c = 
1-1
23
 
 

 (A+B)C =

 
Answer: 27 Answer: 18
Answer: 30 Answer: 35
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
45
 
B= 
66
08
 
and c = 
1-1
23
 

T0 find (A+B) C

A + B =
33
45
+
66
08
=
99
413
(A+B) C =
99
413
 
1-1
23
 
= 
9+18-9+27
4+26-4+39
 
= 
2718
3035
 
...(1)

To find AC+ BC

 

AC =
33
45
 
1-1
23
 
= 
3+6-3+9
4+10-4+15
 
= 
96
1411
 

 

BC =
66
08
 
1-1
23
 
= 
6+12-6+18
0+160+24
 
= 
1812
1624
 
AC+BC 
96
1411
 
+ 
1812
1624
 
= 
2718
3035
 
....(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
07
 
and c = 
2-2
24
 
 

 (A+B)C =

 
Answer: 32 Answer: 16
Answer: 24 Answer: 36
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
23
 
B= 
55
07
 
and c = 
2-2
24
 

T0 find (A+B) C

A + B =
33
23
+
55
07
=
88
210
(A+B) C =
88
210
 
2-2
24
 
= 
16+16-16+32
4+20-4+40
 
= 
3216
2436
 
...(1)

To find AC+ BC

 

AC =
33
23
 
2-2
24
 
= 
6+6-6+12
4+6-4+12
 
= 
126
108
 

 

BC =
55
07
 
2-2
24
 
= 
10+10-10+20
0+140+28
 
= 
2010
1428
 
AC+BC 
126
108
 
+ 
2010
1428
 
= 
3216
2436
 
....(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
53
 
B= 
64
07
 
and c = 
4-2
33
 
 

 (A+B)C =

 
Answer: 57 Answer: 3
Answer: 50 Answer: 20
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
53
 
B= 
64
07
 
and c = 
4-2
33
 

T0 find (A+B) C

A + B =
33
53
+
64
07
=
97
510
(A+B) C =
97
510
 
4-2
33
 
= 
36+21-18+21
20+30-10+30
 
= 
573
5020
 
...(1)

To find AC+ BC

 

AC =
33
53
 
4-2
33
 
= 
12+9-6+9
20+9-10+9
 
= 
213
29-1
 

 

BC =
64
07
 
4-2
33
 
= 
24+12-12+12
0+210+21
 
= 
360
2121
 
AC+BC 
213
29-1
 
+ 
360
2121
 
= 
573
5020
 
....(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
35
 
B= 
67
07
 
and c = 
2-1
54
 
 

 (A+B)C =

 
Answer: 68 Answer: 31
Answer: 66 Answer: 45
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
35
 
B= 
67
07
 
and c = 
2-1
54
 

T0 find (A+B) C

A + B =
33
35
+
67
07
=
910
312
(A+B) C =
910
312
 
2-1
54
 
= 
18+50-9+40
6+60-3+48
 
= 
6831
6645
 
...(1)

To find AC+ BC

 

AC =
33
35
 
2-1
54
 
= 
6+15-3+12
6+25-3+20
 
= 
219
3117
 

 

BC =
67
07
 
2-1
54
 
= 
12+35-6+28
0+350+28
 
= 
4722
3528
 
AC+BC 
219
3117
 
+ 
4722
3528
 
= 
6831
6645
 
....(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
57
 
B= 
58
07
 
and c = 
2-1
34
 
 

 (A+B)C =

 
Answer: 49 Answer: 36
Answer: 52 Answer: 51
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
57
 
B= 
58
07
 
and c = 
2-1
34
 

T0 find (A+B) C

A + B =
33
57
+
58
07
=
811
514
(A+B) C =
811
514
 
2-1
34
 
= 
16+33-8+44
10+42-5+56
 
= 
4936
5251
 
...(1)

To find AC+ BC

 

AC =
33
57
 
2-1
34
 
= 
6+9-3+12
10+21-5+28
 
= 
159
3123
 

 

BC =
58
07
 
2-1
34
 
= 
10+24-5+32
0+210+28
 
= 
3427
2128
 
AC+BC 
159
3123
 
+ 
3427
2128
 
= 
4936
5251
 
....(2)

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