Sasi Math (Revised for 1024)

Scroll:matrices >> find the value 3 row 3 col >> ps (4142)

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.

Verify that A+ (B+C) = (A+B) + C

If A =

5	1	5
2	-2	5
3	6	3

,B =

3	4	4
6	5	7
1	4	4

and C=

4	3	-2
6	0	3
2	-1	3

(A+B) + C =

Answer:_______________

Verify that A+ (B+C) = (A+B) + C

If A =

3	1	5
3	-2	4
4	5	4

,B =

1	3	3
5	3	6
1	4	6

and C=

2	5	-2
6	0	5
3	-1	3

(A+B) + C =

Answer:_______________

Verify that A+ (B+C) = (A+B) + C

If A =

4	2	2
2	-2	3
2	5	5

,B =

3	2	2
8	5	8
2	5	4

and C=

4	5	-2
7	0	5
1	-1	2

(A+B) + C =

Answer:_______________

Verify that A+ (B+C) = (A+B) + C

If A =

2	2	3
3	-2	6
3	6	3

,B =

2	3	2
4	4	8
1	7	4

and C=

3	5	-1
6	0	4
1	-1	3

(A+B) + C =

Answer:_______________

Verify that A+ (B+C) = (A+B) + C

If A =

4	2	4
3	-2	3
0	5	4

,B =

4	4	3
8	4	8
4	4	6

and C=

4	2	-2
4	0	2
3	-1	1

(A+B) + C =

Answer:_______________

Verify that A+ (B+C) = (A+B) + C

If A =

4	2	2
2	-2	2
4	4	3

,B =

2	2	4
6	4	8
4	5	5

and C=

1	3	-1
7	0	3
2	-1	2

(A+B) + C =

Answer:_______________

Verify that A+ (B+C) = (A+B) + C

If A =

3	3	3
4	-2	4
3	3	5

,B =

2	5	2
7	5	6
1	6	4

and C=

2	2	-2
7	0	4
1	-1	3

(A+B) + C =

Answer:_______________

Verify that A+ (B+C) = (A+B) + C

If A =

3	2	3
4	-2	4
3	4	4

,B =

4	4	2
7	4	8
4	5	4

and C=

4	4	-2
5	0	4
3	-1	3

(A+B) + C =

Answer:_______________

Verify that A+ (B+C) = (A+B) + C

If A =

4	1	3
4	-2	6
2	5	4

,B =

3	3	2
4	4	7
2	4	5

and C=

3	3	-3
3	0	5
3	-1	3

(A+B) + C =

Answer:_______________

10)

Verify that A+ (B+C) = (A+B) + C

If A =

5	1	4
4	-2	2
0	6	3

,B =

3	2	2
8	5	6
2	7	5

and C=

4	3	-3
6	0	5
3	-1	3

(A+B) + C =

Answer:_______________

Verify that A+ (B+C) = (A+B) + C

If A =

5	1	5
2	-2	5
3	6	3

,B =

3	4	4
6	5	7
1	4	4

and C=

4	3	-2
6	0	3
2	-1	3

(A+B) + C =

Answer: 12	Answer: 8	Answer: 7
Answer: 14	Answer: 3	Answer: 15
Answer: 6	Answer: 9	Answer: 10

SOLUTION 1 :

B+C =

3	4	4
6	5	7
1	4	4

4	3	-2
6	0	3
2	-1	3

7	7	2
12	5	10
3	3	7

A+(B+C)=

5	1	5
2	-2	5
3	6	3

7	7	2
12	5	10
3	3	7

12	8	7
14	3	15
6	9	10

...(1)

A+B

5	1	5
2	-2	5
3	6	3

3	4	4
6	5	7
1	4	4

8	5	9
8	3	12
4	10	7

(A+B)+C

8	5	9
8	3	12
4	10	7

4	3	-2
6	0	3
2	-1	3

12	8	7
14	3	15
6	9	10

....(2)

From (1) and (2) we have

A+ (B+C) = (A+B) +C.

ï»¿(A+B)+C

12	8	7
14	3	15
6	9	10

ï»¿

Verify that A+ (B+C) = (A+B) + C

If A =

3	1	5
3	-2	4
4	5	4

,B =

1	3	3
5	3	6
1	4	6

and C=

2	5	-2
6	0	5
3	-1	3

(A+B) + C =

Answer: 6	Answer: 9	Answer: 6
Answer: 14	Answer: 1	Answer: 15
Answer: 8	Answer: 8	Answer: 13

SOLUTION 1 :

B+C =

1	3	3
5	3	6
1	4	6

2	5	-2
6	0	5
3	-1	3

3	8	1
11	3	11
4	3	9

A+(B+C)=

3	1	5
3	-2	4
4	5	4

3	8	1
11	3	11
4	3	9

6	9	6
14	1	15
8	8	13

...(1)

A+B

3	1	5
3	-2	4
4	5	4

1	3	3
5	3	6
1	4	6

4	4	8
8	1	10
5	9	10

(A+B)+C

4	4	8
8	1	10
5	9	10

2	5	-2
6	0	5
3	-1	3

6	9	6
14	1	15
8	8	13

....(2)

From (1) and (2) we have

A+ (B+C) = (A+B) +C.

ï»¿(A+B)+C

6	9	6
14	1	15
8	8	13

ï»¿

Verify that A+ (B+C) = (A+B) + C

If A =

4	2	2
2	-2	3
2	5	5

,B =

3	2	2
8	5	8
2	5	4

and C=

4	5	-2
7	0	5
1	-1	2

(A+B) + C =

Answer: 11	Answer: 9	Answer: 2
Answer: 17	Answer: 3	Answer: 16
Answer: 5	Answer: 9	Answer: 11

SOLUTION 1 :

B+C =

3	2	2
8	5	8
2	5	4

4	5	-2
7	0	5
1	-1	2

7	7	0
15	5	13
3	4	6

A+(B+C)=

4	2	2
2	-2	3
2	5	5

7	7	0
15	5	13
3	4	6

11	9	2
17	3	16
5	9	11

...(1)

A+B

4	2	2
2	-2	3
2	5	5

3	2	2
8	5	8
2	5	4

7	4	4
10	3	11
4	10	9

(A+B)+C

7	4	4
10	3	11
4	10	9

4	5	-2
7	0	5
1	-1	2

11	9	2
17	3	16
5	9	11

....(2)

From (1) and (2) we have

A+ (B+C) = (A+B) +C.

ï»¿(A+B)+C

11	9	2
17	3	16
5	9	11

ï»¿

Verify that A+ (B+C) = (A+B) + C

If A =

2	2	3
3	-2	6
3	6	3

,B =

2	3	2
4	4	8
1	7	4

and C=

3	5	-1
6	0	4
1	-1	3

(A+B) + C =

Answer: 7	Answer: 10	Answer: 4
Answer: 13	Answer: 2	Answer: 18
Answer: 5	Answer: 12	Answer: 10

SOLUTION 1 :

B+C =

2	3	2
4	4	8
1	7	4

3	5	-1
6	0	4
1	-1	3

5	8	1
10	4	12
2	6	7

A+(B+C)=

2	2	3
3	-2	6
3	6	3

5	8	1
10	4	12
2	6	7

7	10	4
13	2	18
5	12	10

...(1)

A+B

2	2	3
3	-2	6
3	6	3

2	3	2
4	4	8
1	7	4

4	5	5
7	2	14
4	13	7

(A+B)+C

4	5	5
7	2	14
4	13	7

3	5	-1
6	0	4
1	-1	3

7	10	4
13	2	18
5	12	10

....(2)

From (1) and (2) we have

A+ (B+C) = (A+B) +C.

ï»¿(A+B)+C

7	10	4
13	2	18
5	12	10

ï»¿

Verify that A+ (B+C) = (A+B) + C

If A =

4	2	4
3	-2	3
0	5	4

,B =

4	4	3
8	4	8
4	4	6

and C=

4	2	-2
4	0	2
3	-1	1

(A+B) + C =

Answer: 12	Answer: 8	Answer: 5
Answer: 15	Answer: 2	Answer: 13
Answer: 7	Answer: 8	Answer: 11

SOLUTION 1 :

B+C =

4	4	3
8	4	8
4	4	6

4	2	-2
4	0	2
3	-1	1

8	6	1
12	4	10
7	3	7

A+(B+C)=

4	2	4
3	-2	3
0	5	4

8	6	1
12	4	10
7	3	7

12	8	5
15	2	13
7	8	11

...(1)

A+B

4	2	4
3	-2	3
0	5	4

4	4	3
8	4	8
4	4	6

8	6	7
11	2	11
4	9	10

(A+B)+C

8	6	7
11	2	11
4	9	10

4	2	-2
4	0	2
3	-1	1

12	8	5
15	2	13
7	8	11

....(2)

From (1) and (2) we have

A+ (B+C) = (A+B) +C.

ï»¿(A+B)+C

12	8	5
15	2	13
7	8	11

ï»¿

Verify that A+ (B+C) = (A+B) + C

If A =

4	2	2
2	-2	2
4	4	3

,B =

2	2	4
6	4	8
4	5	5

and C=

1	3	-1
7	0	3
2	-1	2

(A+B) + C =

Answer: 7	Answer: 7	Answer: 5
Answer: 15	Answer: 2	Answer: 13
Answer: 10	Answer: 8	Answer: 10

SOLUTION 1 :

B+C =

2	2	4
6	4	8
4	5	5

1	3	-1
7	0	3
2	-1	2

3	5	3
13	4	11
6	4	7

A+(B+C)=

4	2	2
2	-2	2
4	4	3

3	5	3
13	4	11
6	4	7

7	7	5
15	2	13
10	8	10

...(1)

A+B

4	2	2
2	-2	2
4	4	3

2	2	4
6	4	8
4	5	5

6	4	6
8	2	10
8	9	8

(A+B)+C

6	4	6
8	2	10
8	9	8

1	3	-1
7	0	3
2	-1	2

7	7	5
15	2	13
10	8	10

....(2)

From (1) and (2) we have

A+ (B+C) = (A+B) +C.

ï»¿(A+B)+C

7	7	5
15	2	13
10	8	10

ï»¿

Verify that A+ (B+C) = (A+B) + C

If A =

3	3	3
4	-2	4
3	3	5

,B =

2	5	2
7	5	6
1	6	4

and C=

2	2	-2
7	0	4
1	-1	3

(A+B) + C =

Answer: 7	Answer: 10	Answer: 3
Answer: 18	Answer: 3	Answer: 14
Answer: 5	Answer: 8	Answer: 12

SOLUTION 1 :

B+C =

2	5	2
7	5	6
1	6	4

2	2	-2
7	0	4
1	-1	3

4	7	0
14	5	10
2	5	7

A+(B+C)=

3	3	3
4	-2	4
3	3	5

4	7	0
14	5	10
2	5	7

7	10	3
18	3	14
5	8	12

...(1)

A+B

3	3	3
4	-2	4
3	3	5

2	5	2
7	5	6
1	6	4

5	8	5
11	3	10
4	9	9

(A+B)+C

5	8	5
11	3	10
4	9	9

2	2	-2
7	0	4
1	-1	3

7	10	3
18	3	14
5	8	12

....(2)

From (1) and (2) we have

A+ (B+C) = (A+B) +C.

ï»¿(A+B)+C

7	10	3
18	3	14
5	8	12

ï»¿

Verify that A+ (B+C) = (A+B) + C

If A =

3	2	3
4	-2	4
3	4	4

,B =

4	4	2
7	4	8
4	5	4

and C=

4	4	-2
5	0	4
3	-1	3

(A+B) + C =

Answer: 11	Answer: 10	Answer: 3
Answer: 16	Answer: 2	Answer: 16
Answer: 10	Answer: 8	Answer: 11

SOLUTION 1 :

B+C =

4	4	2
7	4	8
4	5	4

4	4	-2
5	0	4
3	-1	3

8	8	0
12	4	12
7	4	7

A+(B+C)=

3	2	3
4	-2	4
3	4	4

8	8	0
12	4	12
7	4	7

11	10	3
16	2	16
10	8	11

...(1)

A+B

3	2	3
4	-2	4
3	4	4

4	4	2
7	4	8
4	5	4

7	6	5
11	2	12
7	9	8

(A+B)+C

7	6	5
11	2	12
7	9	8

4	4	-2
5	0	4
3	-1	3

11	10	3
16	2	16
10	8	11

....(2)

From (1) and (2) we have

A+ (B+C) = (A+B) +C.

ï»¿(A+B)+C

11	10	3
16	2	16
10	8	11

ï»¿

Verify that A+ (B+C) = (A+B) + C

If A =

4	1	3
4	-2	6
2	5	4

,B =

3	3	2
4	4	7
2	4	5

and C=

3	3	-3
3	0	5
3	-1	3

(A+B) + C =

Answer: 10	Answer: 7	Answer: 2
Answer: 11	Answer: 2	Answer: 18
Answer: 7	Answer: 8	Answer: 12

SOLUTION 1 :

B+C =

3	3	2
4	4	7
2	4	5

3	3	-3
3	0	5
3	-1	3

6	6	-1
7	4	12
5	3	8

A+(B+C)=

4	1	3
4	-2	6
2	5	4

6	6	-1
7	4	12
5	3	8

10	7	2
11	2	18
7	8	12

...(1)

A+B

4	1	3
4	-2	6
2	5	4

3	3	2
4	4	7
2	4	5

7	4	5
8	2	13
4	9	9

(A+B)+C

7	4	5
8	2	13
4	9	9

3	3	-3
3	0	5
3	-1	3

10	7	2
11	2	18
7	8	12

....(2)

From (1) and (2) we have

A+ (B+C) = (A+B) +C.

ï»¿(A+B)+C

10	7	2
11	2	18
7	8	12

ï»¿

10)

Verify that A+ (B+C) = (A+B) + C

If A =

5	1	4
4	-2	2
0	6	3

,B =

3	2	2
8	5	6
2	7	5

and C=

4	3	-3
6	0	5
3	-1	3

(A+B) + C =

Answer: 12	Answer: 6	Answer: 3
Answer: 18	Answer: 3	Answer: 13
Answer: 5	Answer: 12	Answer: 11

SOLUTION 1 :

B+C =

3	2	2
8	5	6
2	7	5

4	3	-3
6	0	5
3	-1	3

7	5	-1
14	5	11
5	6	8

A+(B+C)=

5	1	4
4	-2	2
0	6	3

7	5	-1
14	5	11
5	6	8

12	6	3
18	3	13
5	12	11

...(1)

A+B

5	1	4
4	-2	2
0	6	3

3	2	2
8	5	6
2	7	5

8	3	6
12	3	8
2	13	8

(A+B)+C

8	3	6
12	3	8
2	13	8

4	3	-3
6	0	5
3	-1	3

12	6	3
18	3	13
5	12	11

....(2)

From (1) and (2) we have

A+ (B+C) = (A+B) +C.

ï»¿(A+B)+C

12	6	3
18	3	13
5	12	11

ï»¿