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
55
 		B= 
54
09
 		and c = 
4-1
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




2)  

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

If  A = 
33
57
 		B= 
65
05
 		and c = 
3-2
33
 		 

 (A+B)C =

 
 
 






Answer:_______________




3)  

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

If  A = 
33
55
 		B= 
57
05
 		and c = 
3-1
23
 		 

 (A+B)C =

 
 
 






Answer:_______________




4)  

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

If  A = 
33
44
 		B= 
58
09
 		and c = 
2-1
24
 		 

 (A+B)C =

 
 
 






Answer:_______________




5)  

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

If  A = 
33
23
 		B= 
66
06
 		and c = 
2-2
34
 		 

 (A+B)C =

 
 
 






Answer:_______________




6)  

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

If  A = 
33
53
 		B= 
64
05
 		and c = 
1-2
44
 		 

 (A+B)C =

 
 
 






Answer:_______________




7)  

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

If  A = 
33
56
 		B= 
55
07
 		and c = 
4-2
54
 		 

 (A+B)C =

 
 
 






Answer:_______________




8)  

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

If  A = 
33
47
 		B= 
67
08
 		and c = 
4-1
24
 		 

 (A+B)C =

 
 
 






Answer:_______________




9)  

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

If  A = 
33
33
 		B= 
64
09
 		and c = 
3-2
43
 		 

 (A+B)C =

 
 
 






Answer:_______________




10)  

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

If  A = 
33
43
 		B= 
57
07
 		and c = 
2-2
34
 		 

 (A+B)C =

 
 
 






Answer:_______________




 

1)  

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

If  A = 
33
55
 		B= 
54
09
 		and c = 
4-1
54
 		 

 (A+B)C =

 
Answer: 67 Answer: 20
Answer: 90 Answer: 51
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
55
 		B= 
54
09
 		and c = 
4-1
54
 

T0 find (A+B) C

A + B =
33
55
+
54
09
=
87
514
(A+B) C =
87
514
 
4-1
54
 		= 
32+35-8+28
20+70-5+56
 		= 
6720
9051
 		...(1)

To find AC+ BC

 

AC =
33
55
 
4-1
54
 		= 
12+15-3+12
20+25-5+20
 		= 
279
4515
 

 

BC =
54
09
 
4-1
54
 		= 
20+20-5+16
0+450+36
 		= 
4011
4536
 
AC+BC 
279
4515
 		+ 
4011
4536
 		= 
6720
9051
 		....(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
57
 		B= 
65
05
 		and c = 
3-2
33
 		 

 (A+B)C =

 
Answer: 51 Answer: 6
Answer: 51 Answer: 26
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
57
 		B= 
65
05
 		and c = 
3-2
33
 

T0 find (A+B) C

A + B =
33
57
+
65
05
=
98
512
(A+B) C =
98
512
 
3-2
33
 		= 
27+24-18+24
15+36-10+36
 		= 
516
5126
 		...(1)

To find AC+ BC

 

AC =
33
57
 
3-2
33
 		= 
9+9-6+9
15+21-10+21
 		= 
183
3611
 

 

BC =
65
05
 
3-2
33
 		= 
18+15-12+15
0+150+15
 		= 
333
1515
 
AC+BC 
183
3611
 		+ 
333
1515
 		= 
516
5126
 		....(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= 
57
05
 		and c = 
3-1
23
 		 

 (A+B)C =

 
Answer: 44 Answer: 22
Answer: 35 Answer: 25
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
55
 		B= 
57
05
 		and c = 
3-1
23
 

T0 find (A+B) C

A + B =
33
55
+
57
05
=
810
510
(A+B) C =
810
510
 
3-1
23
 		= 
24+20-8+30
15+20-5+30
 		= 
4422
3525
 		...(1)

To find AC+ BC

 

AC =
33
55
 
3-1
23
 		= 
9+6-3+9
15+10-5+15
 		= 
156
2510
 

 

BC =
57
05
 
3-1
23
 		= 
15+14-5+21
0+100+15
 		= 
2916
1015
 
AC+BC 
156
2510
 		+ 
2916
1015
 		= 
4422
3525
 		....(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= 
58
09
 		and c = 
2-1
24
 		 

 (A+B)C =

 
Answer: 38 Answer: 36
Answer: 34 Answer: 48
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
44
 		B= 
58
09
 		and c = 
2-1
24
 

T0 find (A+B) C

A + B =
33
44
+
58
09
=
811
413
(A+B) C =
811
413
 
2-1
24
 		= 
16+22-8+44
8+26-4+52
 		= 
3836
3448
 		...(1)

To find AC+ BC

 

AC =
33
44
 
2-1
24
 		= 
6+6-3+12
8+8-4+16
 		= 
129
1612
 

 

BC =
58
09
 
2-1
24
 		= 
10+16-5+32
0+180+36
 		= 
2627
1836
 
AC+BC 
129
1612
 		+ 
2627
1836
 		= 
3836
3448
 		....(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
23
 		B= 
66
06
 		and c = 
2-2
34
 		 

 (A+B)C =

 
Answer: 45 Answer: 18
Answer: 31 Answer: 32
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
23
 		B= 
66
06
 		and c = 
2-2
34
 

T0 find (A+B) C

A + B =
33
23
+
66
06
=
99
29
(A+B) C =
99
29
 
2-2
34
 		= 
18+27-18+36
4+27-4+36
 		= 
4518
3132
 		...(1)

To find AC+ BC

 

AC =
33
23
 
2-2
34
 		= 
6+9-6+12
4+9-4+12
 		= 
156
138
 

 

BC =
66
06
 
2-2
34
 		= 
12+18-12+24
0+180+24
 		= 
3012
1824
 
AC+BC 
156
138
 		+ 
3012
1824
 		= 
4518
3132
 		....(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
53
 		B= 
64
05
 		and c = 
1-2
44
 		 

 (A+B)C =

 
Answer: 37 Answer: 10
Answer: 37 Answer: 22
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
53
 		B= 
64
05
 		and c = 
1-2
44
 

T0 find (A+B) C

A + B =
33
53
+
64
05
=
97
58
(A+B) C =
97
58
 
1-2
44
 		= 
9+28-18+28
5+32-10+32
 		= 
3710
3722
 		...(1)

To find AC+ BC

 

AC =
33
53
 
1-2
44
 		= 
3+12-6+12
5+12-10+12
 		= 
156
172
 

 

BC =
64
05
 
1-2
44
 		= 
6+16-12+16
0+200+20
 		= 
224
2020
 
AC+BC 
156
172
 		+ 
224
2020
 		= 
3710
3722
 		....(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
56
 		B= 
55
07
 		and c = 
4-2
54
 		 

 (A+B)C =

 
Answer: 72 Answer: 16
Answer: 85 Answer: 42
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
56
 		B= 
55
07
 		and c = 
4-2
54
 

T0 find (A+B) C

A + B =
33
56
+
55
07
=
88
513
(A+B) C =
88
513
 
4-2
54
 		= 
32+40-16+32
20+65-10+52
 		= 
7216
8542
 		...(1)

To find AC+ BC

 

AC =
33
56
 
4-2
54
 		= 
12+15-6+12
20+30-10+24
 		= 
276
5014
 

 

BC =
55
07
 
4-2
54
 		= 
20+25-10+20
0+350+28
 		= 
4510
3528
 
AC+BC 
276
5014
 		+ 
4510
3528
 		= 
7216
8542
 		....(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
47
 		B= 
67
08
 		and c = 
4-1
24
 		 

 (A+B)C =

 
Answer: 56 Answer: 31
Answer: 46 Answer: 56
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
47
 		B= 
67
08
 		and c = 
4-1
24
 

T0 find (A+B) C

A + B =
33
47
+
67
08
=
910
415
(A+B) C =
910
415
 
4-1
24
 		= 
36+20-9+40
16+30-4+60
 		= 
5631
4656
 		...(1)

To find AC+ BC

 

AC =
33
47
 
4-1
24
 		= 
12+6-3+12
16+14-4+28
 		= 
189
3024
 

 

BC =
67
08
 
4-1
24
 		= 
24+14-6+28
0+160+32
 		= 
3822
1632
 
AC+BC 
189
3024
 		+ 
3822
1632
 		= 
5631
4656
 		....(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= 
64
09
 		and c = 
3-2
43
 		 

 (A+B)C =

 
Answer: 55 Answer: 3
Answer: 57 Answer: 30
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
33
 		B= 
64
09
 		and c = 
3-2
43
 

T0 find (A+B) C

A + B =
33
33
+
64
09
=
97
312
(A+B) C =
97
312
 
3-2
43
 		= 
27+28-18+21
9+48-6+36
 		= 
553
5730
 		...(1)

To find AC+ BC

 

AC =
33
33
 
3-2
43
 		= 
9+12-6+9
9+12-6+9
 		= 
213
213
 

 

BC =
64
09
 
3-2
43
 		= 
18+16-12+12
0+360+27
 		= 
340
3627
 
AC+BC 
213
213
 		+ 
340
3627
 		= 
553
5730
 		....(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
43
 		B= 
57
07
 		and c = 
2-2
34
 		 

 (A+B)C =

 
Answer: 46 Answer: 24
Answer: 38 Answer: 32
 
 






SOLUTION 1 :

 Given:

 

If  A = 
33
43
 		B= 
57
07
 		and c = 
2-2
34
 

T0 find (A+B) C

A + B =
33
43
+
57
07
=
810
410
(A+B) C =
810
410
 
2-2
34
 		= 
16+30-16+40
8+30-8+40
 		= 
4624
3832
 		...(1)

To find AC+ BC

 

AC =
33
43
 
2-2
34
 		= 
6+9-6+12
8+9-8+12
 		= 
156
174
 

 

BC =
57
07
 
2-2
34
 		= 
10+21-10+28
0+210+28
 		= 
3118
2128
 
AC+BC 
156
174
 		+ 
3118
2128
 		= 
4624
3832
 		....(2)

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