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
44
 
B= 
56
07
 
and c = 
2-1
23
 
 

 (A+B)C =

 
 
 






Answer:_______________




2)  

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

If  A = 
33
37
 
B= 
66
06
 
and c = 
4-1
53
 
 

 (A+B)C =

 
 
 






Answer:_______________




3)  

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

If  A = 
33
36
 
B= 
64
09
 
and c = 
3-1
53
 
 

 (A+B)C =

 
 
 






Answer:_______________




4)  

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

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

 (A+B)C =

 
 
 






Answer:_______________




5)  

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

If  A = 
33
55
 
B= 
54
08
 
and c = 
3-1
43
 
 

 (A+B)C =

 
 
 






Answer:_______________




6)  

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

If  A = 
33
25
 
B= 
56
05
 
and c = 
2-1
24
 
 

 (A+B)C =

 
 
 






Answer:_______________




7)  

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

If  A = 
33
24
 
B= 
58
07
 
and c = 
1-1
44
 
 

 (A+B)C =

 
 
 






Answer:_______________




8)  

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

If  A = 
33
25
 
B= 
65
09
 
and c = 
1-2
43
 
 

 (A+B)C =

 
 
 






Answer:_______________




9)  

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

If  A = 
33
36
 
B= 
58
05
 
and c = 
4-1
53
 
 

 (A+B)C =

 
 
 






Answer:_______________




10)  

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

If  A = 
33
46
 
B= 
66
09
 
and c = 
2-2
24
 
 

 (A+B)C =

 
 
 






Answer:_______________




 

1)  

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

If  A = 
33
44
 
B= 
56
07
 
and c = 
2-1
23
 
 

 (A+B)C =

 
Answer: 34 Answer: 19
Answer: 30 Answer: 29
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
44
 
B= 
56
07
 
and c = 
2-1
23
 

T0 find (A+B) C

A + B =
33
44
+
56
07
=
89
411
(A+B) C =
89
411
 
2-1
23
 
= 
16+18-8+27
8+22-4+33
 
= 
3419
3029
 
...(1)

To find AC+ BC

 

AC =
33
44
 
2-1
23
 
= 
6+6-3+9
8+8-4+12
 
= 
126
168
 

 

BC =
56
07
 
2-1
23
 
= 
10+12-5+18
0+140+21
 
= 
2213
1421
 
AC+BC 
126
168
 
+ 
2213
1421
 
= 
3419
3029
 
....(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
37
 
B= 
66
06
 
and c = 
4-1
53
 
 

 (A+B)C =

 
Answer: 81 Answer: 18
Answer: 77 Answer: 36
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
37
 
B= 
66
06
 
and c = 
4-1
53
 

T0 find (A+B) C

A + B =
33
37
+
66
06
=
99
313
(A+B) C =
99
313
 
4-1
53
 
= 
36+45-9+27
12+65-3+39
 
= 
8118
7736
 
...(1)

To find AC+ BC

 

AC =
33
37
 
4-1
53
 
= 
12+15-3+9
12+35-3+21
 
= 
276
4718
 

 

BC =
66
06
 
4-1
53
 
= 
24+30-6+18
0+300+18
 
= 
5412
3018
 
AC+BC 
276
4718
 
+ 
5412
3018
 
= 
8118
7736
 
....(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
36
 
B= 
64
09
 
and c = 
3-1
53
 
 

 (A+B)C =

 
Answer: 62 Answer: 12
Answer: 84 Answer: 42
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
36
 
B= 
64
09
 
and c = 
3-1
53
 

T0 find (A+B) C

A + B =
33
36
+
64
09
=
97
315
(A+B) C =
97
315
 
3-1
53
 
= 
27+35-9+21
9+75-3+45
 
= 
6212
8442
 
...(1)

To find AC+ BC

 

AC =
33
36
 
3-1
53
 
= 
9+15-3+9
9+30-3+18
 
= 
246
3915
 

 

BC =
64
09
 
3-1
53
 
= 
18+20-6+12
0+450+27
 
= 
386
4527
 
AC+BC 
246
3915
 
+ 
386
4527
 
= 
6212
8442
 
....(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
56
 
B= 
56
08
 
and c = 
4-1
44
 
 

 (A+B)C =

 
Answer: 68 Answer: 28
Answer: 76 Answer: 51
 
 






SOLUTION 1 :

 Given:

 

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

T0 find (A+B) C

A + B =
33
56
+
56
08
=
89
514
(A+B) C =
89
514
 
4-1
44
 
= 
32+36-8+36
20+56-5+56
 
= 
6828
7651
 
...(1)

To find AC+ BC

 

AC =
33
56
 
4-1
44
 
= 
12+12-3+12
20+24-5+24
 
= 
249
4419
 

 

BC =
56
08
 
4-1
44
 
= 
20+24-5+24
0+320+32
 
= 
4419
3232
 
AC+BC 
249
4419
 
+ 
4419
3232
 
= 
6828
7651
 
....(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
55
 
B= 
54
08
 
and c = 
3-1
43
 
 

 (A+B)C =

 
Answer: 52 Answer: 13
Answer: 67 Answer: 34
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
55
 
B= 
54
08
 
and c = 
3-1
43
 

T0 find (A+B) C

A + B =
33
55
+
54
08
=
87
513
(A+B) C =
87
513
 
3-1
43
 
= 
24+28-8+21
15+52-5+39
 
= 
5213
6734
 
...(1)

To find AC+ BC

 

AC =
33
55
 
3-1
43
 
= 
9+12-3+9
15+20-5+15
 
= 
216
3510
 

 

BC =
54
08
 
3-1
43
 
= 
15+16-5+12
0+320+24
 
= 
317
3224
 
AC+BC 
216
3510
 
+ 
317
3224
 
= 
5213
6734
 
....(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
25
 
B= 
56
05
 
and c = 
2-1
24
 
 

 (A+B)C =

 
Answer: 34 Answer: 28
Answer: 24 Answer: 38
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
25
 
B= 
56
05
 
and c = 
2-1
24
 

T0 find (A+B) C

A + B =
33
25
+
56
05
=
89
210
(A+B) C =
89
210
 
2-1
24
 
= 
16+18-8+36
4+20-2+40
 
= 
3428
2438
 
...(1)

To find AC+ BC

 

AC =
33
25
 
2-1
24
 
= 
6+6-3+12
4+10-2+20
 
= 
129
1418
 

 

BC =
56
05
 
2-1
24
 
= 
10+12-5+24
0+100+20
 
= 
2219
1020
 
AC+BC 
129
1418
 
+ 
2219
1020
 
= 
3428
2438
 
....(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
24
 
B= 
58
07
 
and c = 
1-1
44
 
 

 (A+B)C =

 
Answer: 52 Answer: 36
Answer: 46 Answer: 42
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
24
 
B= 
58
07
 
and c = 
1-1
44
 

T0 find (A+B) C

A + B =
33
24
+
58
07
=
811
211
(A+B) C =
811
211
 
1-1
44
 
= 
8+44-8+44
2+44-2+44
 
= 
5236
4642
 
...(1)

To find AC+ BC

 

AC =
33
24
 
1-1
44
 
= 
3+12-3+12
2+16-2+16
 
= 
159
1814
 

 

BC =
58
07
 
1-1
44
 
= 
5+32-5+32
0+280+28
 
= 
3727
2828
 
AC+BC 
159
1814
 
+ 
3727
2828
 
= 
5236
4642
 
....(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
25
 
B= 
65
09
 
and c = 
1-2
43
 
 

 (A+B)C =

 
Answer: 41 Answer: 6
Answer: 58 Answer: 38
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
25
 
B= 
65
09
 
and c = 
1-2
43
 

T0 find (A+B) C

A + B =
33
25
+
65
09
=
98
214
(A+B) C =
98
214
 
1-2
43
 
= 
9+32-18+24
2+56-4+42
 
= 
416
5838
 
...(1)

To find AC+ BC

 

AC =
33
25
 
1-2
43
 
= 
3+12-6+9
2+20-4+15
 
= 
153
2211
 

 

BC =
65
09
 
1-2
43
 
= 
6+20-12+15
0+360+27
 
= 
263
3627
 
AC+BC 
153
2211
 
+ 
263
3627
 
= 
416
5838
 
....(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
36
 
B= 
58
05
 
and c = 
4-1
53
 
 

 (A+B)C =

 
Answer: 87 Answer: 25
Answer: 67 Answer: 30
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
36
 
B= 
58
05
 
and c = 
4-1
53
 

T0 find (A+B) C

A + B =
33
36
+
58
05
=
811
311
(A+B) C =
811
311
 
4-1
53
 
= 
32+55-8+33
12+55-3+33
 
= 
8725
6730
 
...(1)

To find AC+ BC

 

AC =
33
36
 
4-1
53
 
= 
12+15-3+9
12+30-3+18
 
= 
276
4215
 

 

BC =
58
05
 
4-1
53
 
= 
20+40-5+24
0+250+15
 
= 
6019
2515
 
AC+BC 
276
4215
 
+ 
6019
2515
 
= 
8725
6730
 
....(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
46
 
B= 
66
09
 
and c = 
2-2
24
 
 

 (A+B)C =

 
Answer: 36 Answer: 18
Answer: 38 Answer: 52
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
46
 
B= 
66
09
 
and c = 
2-2
24
 

T0 find (A+B) C

A + B =
33
46
+
66
09
=
99
415
(A+B) C =
99
415
 
2-2
24
 
= 
18+18-18+36
8+30-8+60
 
= 
3618
3852
 
...(1)

To find AC+ BC

 

AC =
33
46
 
2-2
24
 
= 
6+6-6+12
8+12-8+24
 
= 
126
2016
 

 

BC =
66
09
 
2-2
24
 
= 
12+12-12+24
0+180+36
 
= 
2412
1836
 
AC+BC 
126
2016
 
+ 
2412
1836
 
= 
3618
3852
 
....(2)

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