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
45
 		B= 
56
05
 		and c = 
1-2
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




2)  

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

If  A = 
33
33
 		B= 
54
07
 		and c = 
2-2
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




3)  

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

If  A = 
33
56
 		B= 
57
09
 		and c = 
2-2
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




4)  

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

If  A = 
33
46
 		B= 
65
05
 		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
44
 		B= 
54
07
 		and c = 
4-1
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




6)  

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

If  A = 
33
46
 		B= 
58
07
 		and c = 
1-2
24
 		 

 (A+B)C =

 
 
 






Answer:_______________




7)  

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

If  A = 
33
46
 		B= 
67
07
 		and c = 
4-1
24
 		 

 (A+B)C =

 
 
 






Answer:_______________




8)  

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

If  A = 
33
37
 		B= 
56
08
 		and c = 
4-1
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




9)  

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

If  A = 
33
27
 		B= 
56
08
 		and c = 
4-2
53
 		 

 (A+B)C =

 
 
 






Answer:_______________




10)  

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

If  A = 
33
34
 		B= 
54
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
45
 		B= 
56
05
 		and c = 
1-2
23
 		 

 (A+B)C =

 
Answer: 26 Answer: 11
Answer: 24 Answer: 22
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
45
 		B= 
56
05
 		and c = 
1-2
23
 

T0 find (A+B) C

A + B =
33
45
+
56
05
=
89
410
(A+B) C =
89
410
 
1-2
23
 		= 
8+18-16+27
4+20-8+30
 		= 
2611
2422
 		...(1)

To find AC+ BC

 

AC =
33
45
 
1-2
23
 		= 
3+6-6+9
4+10-8+15
 		= 
93
147
 

 

BC =
56
05
 
1-2
23
 		= 
5+12-10+18
0+100+15
 		= 
178
1015
 
AC+BC 
93
147
 		+ 
178
1015
 		= 
2611
2422
 		....(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
33
 		B= 
54
07
 		and c = 
2-2
54
 		 

 (A+B)C =

 
Answer: 51 Answer: 12
Answer: 56 Answer: 34
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
33
 		B= 
54
07
 		and c = 
2-2
54
 

T0 find (A+B) C

A + B =
33
33
+
54
07
=
87
310
(A+B) C =
87
310
 
2-2
54
 		= 
16+35-16+28
6+50-6+40
 		= 
5112
5634
 		...(1)

To find AC+ BC

 

AC =
33
33
 
2-2
54
 		= 
6+15-6+12
6+15-6+12
 		= 
216
216
 

 

BC =
54
07
 
2-2
54
 		= 
10+20-10+16
0+350+28
 		= 
306
3528
 
AC+BC 
216
216
 		+ 
306
3528
 		= 
5112
5634
 		....(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
56
 		B= 
57
09
 		and c = 
2-2
23
 		 

 (A+B)C =

 
Answer: 36 Answer: 14
Answer: 40 Answer: 35
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
56
 		B= 
57
09
 		and c = 
2-2
23
 

T0 find (A+B) C

A + B =
33
56
+
57
09
=
810
515
(A+B) C =
810
515
 
2-2
23
 		= 
16+20-16+30
10+30-10+45
 		= 
3614
4035
 		...(1)

To find AC+ BC

 

AC =
33
56
 
2-2
23
 		= 
6+6-6+9
10+12-10+18
 		= 
123
228
 

 

BC =
57
09
 
2-2
23
 		= 
10+14-10+21
0+180+27
 		= 
2411
1827
 
AC+BC 
123
228
 		+ 
2411
1827
 		= 
3614
4035
 		....(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
46
 		B= 
65
05
 		and c = 
4-1
44
 		 

 (A+B)C =

 
Answer: 68 Answer: 23
Answer: 60 Answer: 40
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
46
 		B= 
65
05
 		and c = 
4-1
44
 

T0 find (A+B) C

A + B =
33
46
+
65
05
=
98
411
(A+B) C =
98
411
 
4-1
44
 		= 
36+32-9+32
16+44-4+44
 		= 
6823
6040
 		...(1)

To find AC+ BC

 

AC =
33
46
 
4-1
44
 		= 
12+12-3+12
16+24-4+24
 		= 
249
4020
 

 

BC =
65
05
 
4-1
44
 		= 
24+20-6+20
0+200+20
 		= 
4414
2020
 
AC+BC 
249
4020
 		+ 
4414
2020
 		= 
6823
6040
 		....(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
44
 		B= 
54
07
 		and c = 
4-1
54
 		 

 (A+B)C =

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






SOLUTION 1 :

 Given:

 

If  A = 
33
44
 		B= 
54
07
 		and c = 
4-1
54
 

T0 find (A+B) C

A + B =
33
44
+
54
07
=
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
44
 
4-1
54
 		= 
12+15-3+12
16+20-4+16
 		= 
279
3612
 

 

BC =
54
07
 
4-1
54
 		= 
20+20-5+16
0+350+28
 		= 
4011
3528
 
AC+BC 
279
3612
 		+ 
4011
3528
 		= 
6720
7140
 		....(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
46
 		B= 
58
07
 		and c = 
1-2
24
 		 

 (A+B)C =

 
Answer: 30 Answer: 28
Answer: 30 Answer: 44
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
46
 		B= 
58
07
 		and c = 
1-2
24
 

T0 find (A+B) C

A + B =
33
46
+
58
07
=
811
413
(A+B) C =
811
413
 
1-2
24
 		= 
8+22-16+44
4+26-8+52
 		= 
3028
3044
 		...(1)

To find AC+ BC

 

AC =
33
46
 
1-2
24
 		= 
3+6-6+12
4+12-8+24
 		= 
96
1616
 

 

BC =
58
07
 
1-2
24
 		= 
5+16-10+32
0+140+28
 		= 
2122
1428
 
AC+BC 
96
1616
 		+ 
2122
1428
 		= 
3028
3044
 		....(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
46
 		B= 
67
07
 		and c = 
4-1
24
 		 

 (A+B)C =

 
Answer: 56 Answer: 31
Answer: 42 Answer: 48
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
46
 		B= 
67
07
 		and c = 
4-1
24
 

T0 find (A+B) C

A + B =
33
46
+
67
07
=
910
413
(A+B) C =
910
413
 
4-1
24
 		= 
36+20-9+40
16+26-4+52
 		= 
5631
4248
 		...(1)

To find AC+ BC

 

AC =
33
46
 
4-1
24
 		= 
12+6-3+12
16+12-4+24
 		= 
189
2820
 

 

BC =
67
07
 
4-1
24
 		= 
24+14-6+28
0+140+28
 		= 
3822
1428
 
AC+BC 
189
2820
 		+ 
3822
1428
 		= 
5631
4248
 		....(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
37
 		B= 
56
08
 		and c = 
4-1
53
 		 

 (A+B)C =

 
Answer: 77 Answer: 19
Answer: 87 Answer: 42
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
37
 		B= 
56
08
 		and c = 
4-1
53
 

T0 find (A+B) C

A + B =
33
37
+
56
08
=
89
315
(A+B) C =
89
315
 
4-1
53
 		= 
32+45-8+27
12+75-3+45
 		= 
7719
8742
 		...(1)

To find AC+ BC

 

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

 

BC =
56
08
 
4-1
53
 		= 
20+30-5+18
0+400+24
 		= 
5013
4024
 
AC+BC 
276
4718
 		+ 
5013
4024
 		= 
7719
8742
 		....(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
27
 		B= 
56
08
 		and c = 
4-2
53
 		 

 (A+B)C =

 
Answer: 77 Answer: 11
Answer: 83 Answer: 41
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
27
 		B= 
56
08
 		and c = 
4-2
53
 

T0 find (A+B) C

A + B =
33
27
+
56
08
=
89
215
(A+B) C =
89
215
 
4-2
53
 		= 
32+45-16+27
8+75-4+45
 		= 
7711
8341
 		...(1)

To find AC+ BC

 

AC =
33
27
 
4-2
53
 		= 
12+15-6+9
8+35-4+21
 		= 
273
4317
 

 

BC =
56
08
 
4-2
53
 		= 
20+30-10+18
0+400+24
 		= 
508
4024
 
AC+BC 
273
4317
 		+ 
508
4024
 		= 
7711
8341
 		....(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
34
 		B= 
54
08
 		and c = 
3-1
43
 		 

 (A+B)C =

 
Answer: 52 Answer: 13
Answer: 57 Answer: 33
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
34
 		B= 
54
08
 		and c = 
3-1
43
 

T0 find (A+B) C

A + B =
33
34
+
54
08
=
87
312
(A+B) C =
87
312
 
3-1
43
 		= 
24+28-8+21
9+48-3+36
 		= 
5213
5733
 		...(1)

To find AC+ BC

 

AC =
33
34
 
3-1
43
 		= 
9+12-3+9
9+16-3+12
 		= 
216
259
 

 

BC =
54
08
 
3-1
43
 		= 
15+16-5+12
0+320+24
 		= 
317
3224
 
AC+BC 
216
259
 		+ 
317
3224
 		= 
5213
5733
 		....(2)

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