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
53
 
B= 
54
08
 
and c = 
4-1
43
 
 

 (A+B)C =

 
 
 






Answer:_______________




2)  

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

If  A = 
33
45
 
B= 
64
06
 
and c = 
4-1
44
 
 

 (A+B)C =

 
 
 






Answer:_______________




3)  

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

If  A = 
33
55
 
B= 
64
09
 
and c = 
4-2
44
 
 

 (A+B)C =

 
 
 






Answer:_______________




4)  

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

If  A = 
33
44
 
B= 
65
09
 
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
57
 
B= 
66
08
 
and c = 
4-2
44
 
 

 (A+B)C =

 
 
 






Answer:_______________




6)  

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

If  A = 
33
57
 
B= 
68
06
 
and c = 
1-1
33
 
 

 (A+B)C =

 
 
 






Answer:_______________




7)  

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

If  A = 
33
55
 
B= 
56
06
 
and c = 
2-1
54
 
 

 (A+B)C =

 
 
 






Answer:_______________




8)  

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

If  A = 
33
45
 
B= 
56
09
 
and c = 
1-2
33
 
 

 (A+B)C =

 
 
 






Answer:_______________




9)  

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

If  A = 
33
44
 
B= 
56
08
 
and c = 
4-1
23
 
 

 (A+B)C =

 
 
 






Answer:_______________




10)  

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

If  A = 
33
27
 
B= 
65
09
 
and c = 
4-2
24
 
 

 (A+B)C =

 
 
 






Answer:_______________




 

1)  

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

If  A = 
33
53
 
B= 
54
08
 
and c = 
4-1
43
 
 

 (A+B)C =

 
Answer: 60 Answer: 13
Answer: 64 Answer: 28
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
53
 
B= 
54
08
 
and c = 
4-1
43
 

T0 find (A+B) C

A + B =
33
53
+
54
08
=
87
511
(A+B) C =
87
511
 
4-1
43
 
= 
32+28-8+21
20+44-5+33
 
= 
6013
6428
 
...(1)

To find AC+ BC

 

AC =
33
53
 
4-1
43
 
= 
12+12-3+9
20+12-5+9
 
= 
246
324
 

 

BC =
54
08
 
4-1
43
 
= 
20+16-5+12
0+320+24
 
= 
367
3224
 
AC+BC 
246
324
 
+ 
367
3224
 
= 
6013
6428
 
....(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
45
 
B= 
64
06
 
and c = 
4-1
44
 
 

 (A+B)C =

 
Answer: 64 Answer: 19
Answer: 60 Answer: 40
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
45
 
B= 
64
06
 
and c = 
4-1
44
 

T0 find (A+B) C

A + B =
33
45
+
64
06
=
97
411
(A+B) C =
97
411
 
4-1
44
 
= 
36+28-9+28
16+44-4+44
 
= 
6419
6040
 
...(1)

To find AC+ BC

 

AC =
33
45
 
4-1
44
 
= 
12+12-3+12
16+20-4+20
 
= 
249
3616
 

 

BC =
64
06
 
4-1
44
 
= 
24+16-6+16
0+240+24
 
= 
4010
2424
 
AC+BC 
249
3616
 
+ 
4010
2424
 
= 
6419
6040
 
....(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
55
 
B= 
64
09
 
and c = 
4-2
44
 
 

 (A+B)C =

 
Answer: 64 Answer: 10
Answer: 76 Answer: 46
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
55
 
B= 
64
09
 
and c = 
4-2
44
 

T0 find (A+B) C

A + B =
33
55
+
64
09
=
97
514
(A+B) C =
97
514
 
4-2
44
 
= 
36+28-18+28
20+56-10+56
 
= 
6410
7646
 
...(1)

To find AC+ BC

 

AC =
33
55
 
4-2
44
 
= 
12+12-6+12
20+20-10+20
 
= 
246
4010
 

 

BC =
64
09
 
4-2
44
 
= 
24+16-12+16
0+360+36
 
= 
404
3636
 
AC+BC 
246
4010
 
+ 
404
3636
 
= 
6410
7646
 
....(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
44
 
B= 
65
09
 
and c = 
1-1
44
 
 

 (A+B)C =

 
Answer: 41 Answer: 23
Answer: 56 Answer: 48
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
44
 
B= 
65
09
 
and c = 
1-1
44
 

T0 find (A+B) C

A + B =
33
44
+
65
09
=
98
413
(A+B) C =
98
413
 
1-1
44
 
= 
9+32-9+32
4+52-4+52
 
= 
4123
5648
 
...(1)

To find AC+ BC

 

AC =
33
44
 
1-1
44
 
= 
3+12-3+12
4+16-4+16
 
= 
159
2012
 

 

BC =
65
09
 
1-1
44
 
= 
6+20-6+20
0+360+36
 
= 
2614
3636
 
AC+BC 
159
2012
 
+ 
2614
3636
 
= 
4123
5648
 
....(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
57
 
B= 
66
08
 
and c = 
4-2
44
 
 

 (A+B)C =

 
Answer: 72 Answer: 18
Answer: 80 Answer: 50
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
57
 
B= 
66
08
 
and c = 
4-2
44
 

T0 find (A+B) C

A + B =
33
57
+
66
08
=
99
515
(A+B) C =
99
515
 
4-2
44
 
= 
36+36-18+36
20+60-10+60
 
= 
7218
8050
 
...(1)

To find AC+ BC

 

AC =
33
57
 
4-2
44
 
= 
12+12-6+12
20+28-10+28
 
= 
246
4818
 

 

BC =
66
08
 
4-2
44
 
= 
24+24-12+24
0+320+32
 
= 
4812
3232
 
AC+BC 
246
4818
 
+ 
4812
3232
 
= 
7218
8050
 
....(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
57
 
B= 
68
06
 
and c = 
1-1
33
 
 

 (A+B)C =

 
Answer: 42 Answer: 24
Answer: 44 Answer: 34
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
57
 
B= 
68
06
 
and c = 
1-1
33
 

T0 find (A+B) C

A + B =
33
57
+
68
06
=
911
513
(A+B) C =
911
513
 
1-1
33
 
= 
9+33-9+33
5+39-5+39
 
= 
4224
4434
 
...(1)

To find AC+ BC

 

AC =
33
57
 
1-1
33
 
= 
3+9-3+9
5+21-5+21
 
= 
126
2616
 

 

BC =
68
06
 
1-1
33
 
= 
6+24-6+24
0+180+18
 
= 
3018
1818
 
AC+BC 
126
2616
 
+ 
3018
1818
 
= 
4224
4434
 
....(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
55
 
B= 
56
06
 
and c = 
2-1
54
 
 

 (A+B)C =

 
Answer: 61 Answer: 28
Answer: 65 Answer: 39
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
55
 
B= 
56
06
 
and c = 
2-1
54
 

T0 find (A+B) C

A + B =
33
55
+
56
06
=
89
511
(A+B) C =
89
511
 
2-1
54
 
= 
16+45-8+36
10+55-5+44
 
= 
6128
6539
 
...(1)

To find AC+ BC

 

AC =
33
55
 
2-1
54
 
= 
6+15-3+12
10+25-5+20
 
= 
219
3515
 

 

BC =
56
06
 
2-1
54
 
= 
10+30-5+24
0+300+24
 
= 
4019
3024
 
AC+BC 
219
3515
 
+ 
4019
3024
 
= 
6128
6539
 
....(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
45
 
B= 
56
09
 
and c = 
1-2
33
 
 

 (A+B)C =

 
Answer: 35 Answer: 11
Answer: 46 Answer: 34
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
45
 
B= 
56
09
 
and c = 
1-2
33
 

T0 find (A+B) C

A + B =
33
45
+
56
09
=
89
414
(A+B) C =
89
414
 
1-2
33
 
= 
8+27-16+27
4+42-8+42
 
= 
3511
4634
 
...(1)

To find AC+ BC

 

AC =
33
45
 
1-2
33
 
= 
3+9-6+9
4+15-8+15
 
= 
123
197
 

 

BC =
56
09
 
1-2
33
 
= 
5+18-10+18
0+270+27
 
= 
238
2727
 
AC+BC 
123
197
 
+ 
238
2727
 
= 
3511
4634
 
....(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= 
56
08
 
and c = 
4-1
23
 
 

 (A+B)C =

 
Answer: 50 Answer: 19
Answer: 40 Answer: 32
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
44
 
B= 
56
08
 
and c = 
4-1
23
 

T0 find (A+B) C

A + B =
33
44
+
56
08
=
89
412
(A+B) C =
89
412
 
4-1
23
 
= 
32+18-8+27
16+24-4+36
 
= 
5019
4032
 
...(1)

To find AC+ BC

 

AC =
33
44
 
4-1
23
 
= 
12+6-3+9
16+8-4+12
 
= 
186
248
 

 

BC =
56
08
 
4-1
23
 
= 
20+12-5+18
0+160+24
 
= 
3213
1624
 
AC+BC 
186
248
 
+ 
3213
1624
 
= 
5019
4032
 
....(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
27
 
B= 
65
09
 
and c = 
4-2
24
 
 

 (A+B)C =

 
Answer: 52 Answer: 14
Answer: 40 Answer: 60
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
27
 
B= 
65
09
 
and c = 
4-2
24
 

T0 find (A+B) C

A + B =
33
27
+
65
09
=
98
216
(A+B) C =
98
216
 
4-2
24
 
= 
36+16-18+32
8+32-4+64
 
= 
5214
4060
 
...(1)

To find AC+ BC

 

AC =
33
27
 
4-2
24
 
= 
12+6-6+12
8+14-4+28
 
= 
186
2224
 

 

BC =
65
09
 
4-2
24
 
= 
24+10-12+20
0+180+36
 
= 
348
1836
 
AC+BC 
186
2224
 
+ 
348
1836
 
= 
5214
4060
 
....(2)

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