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	2	2
3	-2	5
3	4	4

,B =

2	2	2
5	3	7
2	6	4

and C=

1	2	-1
3	0	5
3	-1	1

(A+B) + C =

Answer:_______________

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

If A =

5	3	3
2	-2	2
1	2	5

,B =

4	2	4
8	4	8
3	6	6

and C=

3	5	-3
3	0	4
2	-1	1

(A+B) + C =

Answer:_______________

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

If A =

3	1	2
2	-2	2
2	5	4

,B =

2	5	4
7	4	8
3	4	4

and C=

3	5	-3
6	0	2
1	-1	3

(A+B) + C =

Answer:_______________

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

If A =

5	1	5
3	-2	6
3	4	3

,B =

1	5	2
8	5	8
1	5	5

and C=

3	4	-3
5	0	4
1	-1	1

(A+B) + C =

Answer:_______________

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

If A =

2	1	3
4	-2	6
0	4	3

,B =

1	3	3
4	3	8
3	7	6

and C=

1	3	-1
5	0	5
2	-1	1

(A+B) + C =

Answer:_______________

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

If A =

4	3	5
3	-2	2
4	3	3

,B =

4	3	3
6	4	8
4	7	6

and C=

2	2	-1
7	0	4
1	-1	3

(A+B) + C =

Answer:_______________

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

If A =

4	1	4
2	-2	5
0	2	3

,B =

1	5	4
4	5	6
1	6	4

and C=

4	4	-3
5	0	2
3	-1	1

(A+B) + C =

Answer:_______________

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

If A =

4	1	4
4	-2	4
0	4	3

,B =

3	2	2
6	4	8
4	6	5

and C=

4	3	-3
6	0	5
2	-1	3

(A+B) + C =

Answer:_______________

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

If A =

5	3	2
2	-2	5
3	5	4

,B =

3	5	4
8	4	6
1	4	6

and C=

4	5	-1
6	0	2
2	-1	2

(A+B) + C =

Answer:_______________

10)

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

If A =

3	2	4
2	-2	5
1	4	2

,B =

1	3	2
4	3	8
2	5	6

and C=

2	4	-1
4	0	3
3	-1	2

(A+B) + C =

Answer:_______________

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

If A =

5	2	2
3	-2	5
3	4	4

,B =

2	2	2
5	3	7
2	6	4

and C=

1	2	-1
3	0	5
3	-1	1

(A+B) + C =

Answer: 8	Answer: 6	Answer: 3
Answer: 11	Answer: 1	Answer: 17
Answer: 8	Answer: 9	Answer: 9

SOLUTION 1 :

B+C =

2	2	2
5	3	7
2	6	4

1	2	-1
3	0	5
3	-1	1

3	4	1
8	3	12
5	5	5

A+(B+C)=

5	2	2
3	-2	5
3	4	4

3	4	1
8	3	12
5	5	5

8	6	3
11	1	17
8	9	9

...(1)

A+B

5	2	2
3	-2	5
3	4	4

2	2	2
5	3	7
2	6	4

7	4	4
8	1	12
5	10	8

(A+B)+C

7	4	4
8	1	12
5	10	8

1	2	-1
3	0	5
3	-1	1

8	6	3
11	1	17
8	9	9

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	6	3
11	1	17
8	9	9

ï»¿

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

If A =

5	3	3
2	-2	2
1	2	5

,B =

4	2	4
8	4	8
3	6	6

and C=

3	5	-3
3	0	4
2	-1	1

(A+B) + C =

Answer: 12	Answer: 10	Answer: 4
Answer: 13	Answer: 2	Answer: 14
Answer: 6	Answer: 7	Answer: 12

SOLUTION 1 :

B+C =

4	2	4
8	4	8
3	6	6

3	5	-3
3	0	4
2	-1	1

7	7	1
11	4	12
5	5	7

A+(B+C)=

5	3	3
2	-2	2
1	2	5

7	7	1
11	4	12
5	5	7

12	10	4
13	2	14
6	7	12

...(1)

A+B

5	3	3
2	-2	2
1	2	5

4	2	4
8	4	8
3	6	6

9	5	7
10	2	10
4	8	11

(A+B)+C

9	5	7
10	2	10
4	8	11

3	5	-3
3	0	4
2	-1	1

12	10	4
13	2	14
6	7	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

12	10	4
13	2	14
6	7	12

ï»¿

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

If A =

3	1	2
2	-2	2
2	5	4

,B =

2	5	4
7	4	8
3	4	4

and C=

3	5	-3
6	0	2
1	-1	3

(A+B) + C =

Answer: 8	Answer: 11	Answer: 3
Answer: 15	Answer: 2	Answer: 12
Answer: 6	Answer: 8	Answer: 11

SOLUTION 1 :

B+C =

2	5	4
7	4	8
3	4	4

3	5	-3
6	0	2
1	-1	3

5	10	1
13	4	10
4	3	7

A+(B+C)=

3	1	2
2	-2	2
2	5	4

5	10	1
13	4	10
4	3	7

8	11	3
15	2	12
6	8	11

...(1)

A+B

3	1	2
2	-2	2
2	5	4

2	5	4
7	4	8
3	4	4

5	6	6
9	2	10
5	9	8

(A+B)+C

5	6	6
9	2	10
5	9	8

3	5	-3
6	0	2
1	-1	3

8	11	3
15	2	12
6	8	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	11	3
15	2	12
6	8	11

ï»¿

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

If A =

5	1	5
3	-2	6
3	4	3

,B =

1	5	2
8	5	8
1	5	5

and C=

3	4	-3
5	0	4
1	-1	1

(A+B) + C =

Answer: 9	Answer: 10	Answer: 4
Answer: 16	Answer: 3	Answer: 18
Answer: 5	Answer: 8	Answer: 9

SOLUTION 1 :

B+C =

1	5	2
8	5	8
1	5	5

3	4	-3
5	0	4
1	-1	1

4	9	-1
13	5	12
2	4	6

A+(B+C)=

5	1	5
3	-2	6
3	4	3

4	9	-1
13	5	12
2	4	6

9	10	4
16	3	18
5	8	9

...(1)

A+B

5	1	5
3	-2	6
3	4	3

1	5	2
8	5	8
1	5	5

6	6	7
11	3	14
4	9	8

(A+B)+C

6	6	7
11	3	14
4	9	8

3	4	-3
5	0	4
1	-1	1

9	10	4
16	3	18
5	8	9

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

9	10	4
16	3	18
5	8	9

ï»¿

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

If A =

2	1	3
4	-2	6
0	4	3

,B =

1	3	3
4	3	8
3	7	6

and C=

1	3	-1
5	0	5
2	-1	1

(A+B) + C =

Answer: 4	Answer: 7	Answer: 5
Answer: 13	Answer: 1	Answer: 19
Answer: 5	Answer: 10	Answer: 10

SOLUTION 1 :

B+C =

1	3	3
4	3	8
3	7	6

1	3	-1
5	0	5
2	-1	1

2	6	2
9	3	13
5	6	7

A+(B+C)=

2	1	3
4	-2	6
0	4	3

2	6	2
9	3	13
5	6	7

4	7	5
13	1	19
5	10	10

...(1)

A+B

2	1	3
4	-2	6
0	4	3

1	3	3
4	3	8
3	7	6

3	4	6
8	1	14
3	11	9

(A+B)+C

3	4	6
8	1	14
3	11	9

1	3	-1
5	0	5
2	-1	1

4	7	5
13	1	19
5	10	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

4	7	5
13	1	19
5	10	10

ï»¿

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

If A =

4	3	5
3	-2	2
4	3	3

,B =

4	3	3
6	4	8
4	7	6

and C=

2	2	-1
7	0	4
1	-1	3

(A+B) + C =

Answer: 10	Answer: 8	Answer: 7
Answer: 16	Answer: 2	Answer: 14
Answer: 9	Answer: 9	Answer: 12

SOLUTION 1 :

B+C =

4	3	3
6	4	8
4	7	6

2	2	-1
7	0	4
1	-1	3

6	5	2
13	4	12
5	6	9

A+(B+C)=

4	3	5
3	-2	2
4	3	3

6	5	2
13	4	12
5	6	9

10	8	7
16	2	14
9	9	12

...(1)

A+B

4	3	5
3	-2	2
4	3	3

4	3	3
6	4	8
4	7	6

8	6	8
9	2	10
8	10	9

(A+B)+C

8	6	8
9	2	10
8	10	9

2	2	-1
7	0	4
1	-1	3

10	8	7
16	2	14
9	9	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

10	8	7
16	2	14
9	9	12

ï»¿

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

If A =

4	1	4
2	-2	5
0	2	3

,B =

1	5	4
4	5	6
1	6	4

and C=

4	4	-3
5	0	2
3	-1	1

(A+B) + C =

Answer: 9	Answer: 10	Answer: 5
Answer: 11	Answer: 3	Answer: 13
Answer: 4	Answer: 7	Answer: 8

SOLUTION 1 :

B+C =

1	5	4
4	5	6
1	6	4

4	4	-3
5	0	2
3	-1	1

5	9	1
9	5	8
4	5	5

A+(B+C)=

4	1	4
2	-2	5
0	2	3

5	9	1
9	5	8
4	5	5

9	10	5
11	3	13
4	7	8

...(1)

A+B

4	1	4
2	-2	5
0	2	3

1	5	4
4	5	6
1	6	4

5	6	8
6	3	11
1	8	7

(A+B)+C

5	6	8
6	3	11
1	8	7

4	4	-3
5	0	2
3	-1	1

9	10	5
11	3	13
4	7	8

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

9	10	5
11	3	13
4	7	8

ï»¿

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

If A =

4	1	4
4	-2	4
0	4	3

,B =

3	2	2
6	4	8
4	6	5

and C=

4	3	-3
6	0	5
2	-1	3

(A+B) + C =

Answer: 11	Answer: 6	Answer: 3
Answer: 16	Answer: 2	Answer: 17
Answer: 6	Answer: 9	Answer: 11

SOLUTION 1 :

B+C =

3	2	2
6	4	8
4	6	5

4	3	-3
6	0	5
2	-1	3

7	5	-1
12	4	13
6	5	8

A+(B+C)=

4	1	4
4	-2	4
0	4	3

7	5	-1
12	4	13
6	5	8

11	6	3
16	2	17
6	9	11

...(1)

A+B

4	1	4
4	-2	4
0	4	3

3	2	2
6	4	8
4	6	5

7	3	6
10	2	12
4	10	8

(A+B)+C

7	3	6
10	2	12
4	10	8

4	3	-3
6	0	5
2	-1	3

11	6	3
16	2	17
6	9	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

11	6	3
16	2	17
6	9	11

ï»¿

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

If A =

5	3	2
2	-2	5
3	5	4

,B =

3	5	4
8	4	6
1	4	6

and C=

4	5	-1
6	0	2
2	-1	2

(A+B) + C =

Answer: 12	Answer: 13	Answer: 5
Answer: 16	Answer: 2	Answer: 13
Answer: 6	Answer: 8	Answer: 12

SOLUTION 1 :

B+C =

3	5	4
8	4	6
1	4	6

4	5	-1
6	0	2
2	-1	2

7	10	3
14	4	8
3	3	8

A+(B+C)=

5	3	2
2	-2	5
3	5	4

7	10	3
14	4	8
3	3	8

12	13	5
16	2	13
6	8	12

...(1)

A+B

5	3	2
2	-2	5
3	5	4

3	5	4
8	4	6
1	4	6

8	8	6
10	2	11
4	9	10

(A+B)+C

8	8	6
10	2	11
4	9	10

4	5	-1
6	0	2
2	-1	2

12	13	5
16	2	13
6	8	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

12	13	5
16	2	13
6	8	12

ï»¿

10)

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

If A =

3	2	4
2	-2	5
1	4	2

,B =

1	3	2
4	3	8
2	5	6

and C=

2	4	-1
4	0	3
3	-1	2

(A+B) + C =

Answer: 6	Answer: 9	Answer: 5
Answer: 10	Answer: 1	Answer: 16
Answer: 6	Answer: 8	Answer: 10

SOLUTION 1 :

B+C =

1	3	2
4	3	8
2	5	6

2	4	-1
4	0	3
3	-1	2

3	7	1
8	3	11
5	4	8

A+(B+C)=

3	2	4
2	-2	5
1	4	2

3	7	1
8	3	11
5	4	8

6	9	5
10	1	16
6	8	10

...(1)

A+B

3	2	4
2	-2	5
1	4	2

1	3	2
4	3	8
2	5	6

4	5	6
6	1	13
3	9	8

(A+B)+C

4	5	6
6	1	13
3	9	8

2	4	-1
4	0	3
3	-1	2

6	9	5
10	1	16
6	8	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

6	9	5
10	1	16
6	8	10

ï»¿