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 =

3	3	5
2	-2	6
0	6	2

,B =

4	5	3
5	4	8
3	4	6

and C=

3	5	-2
7	0	3
3	-1	2

(A+B) + C =

Answer:_______________

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

If A =

3	3	3
3	-2	6
1	2	5

,B =

4	4	4
6	5	8
2	6	4

and C=

3	3	-3
3	0	3
3	-1	3

(A+B) + C =

Answer:_______________

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

If A =

2	3	3
4	-2	4
2	6	5

,B =

3	4	3
6	3	7
3	4	4

and C=

2	3	-3
7	0	3
3	-1	1

(A+B) + C =

Answer:_______________

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

If A =

4	1	5
3	-2	4
2	4	4

,B =

4	2	4
7	4	6
4	7	4

and C=

2	3	-3
7	0	4
2	-1	2

(A+B) + C =

Answer:_______________

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

If A =

2	2	4
2	-2	4
4	6	5

,B =

2	2	2
7	3	7
2	4	4

and C=

2	2	-2
5	0	4
2	-1	2

(A+B) + C =

Answer:_______________

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

If A =

5	2	3
2	-2	5
4	5	5

,B =

2	3	4
7	4	6
3	4	4

and C=

1	4	-3
3	0	5
3	-1	3

(A+B) + C =

Answer:_______________

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

If A =

3	1	2
3	-2	4
2	6	4

,B =

1	4	4
8	5	6
2	6	5

and C=

3	5	-2
6	0	3
1	-1	2

(A+B) + C =

Answer:_______________

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

If A =

2	3	2
4	-2	6
1	4	3

,B =

4	3	3
8	5	7
4	4	6

and C=

4	3	-3
4	0	3
2	-1	2

(A+B) + C =

Answer:_______________

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

If A =

3	3	2
2	-2	4
0	2	3

,B =

1	4	2
8	5	8
4	7	6

and C=

1	5	-1
4	0	5
3	-1	3

(A+B) + C =

Answer:_______________

10)

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

If A =

4	2	2
4	-2	5
3	5	4

,B =

4	4	3
6	5	8
2	4	6

and C=

4	4	-2
5	0	5
3	-1	3

(A+B) + C =

Answer:_______________

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

If A =

3	3	5
2	-2	6
0	6	2

,B =

4	5	3
5	4	8
3	4	6

and C=

3	5	-2
7	0	3
3	-1	2

(A+B) + C =

Answer: 10	Answer: 13	Answer: 6
Answer: 14	Answer: 2	Answer: 17
Answer: 6	Answer: 9	Answer: 10

SOLUTION 1 :

B+C =

4	5	3
5	4	8
3	4	6

3	5	-2
7	0	3
3	-1	2

7	10	1
12	4	11
6	3	8

A+(B+C)=

3	3	5
2	-2	6
0	6	2

7	10	1
12	4	11
6	3	8

10	13	6
14	2	17
6	9	10

...(1)

A+B

3	3	5
2	-2	6
0	6	2

4	5	3
5	4	8
3	4	6

7	8	8
7	2	14
3	10	8

(A+B)+C

7	8	8
7	2	14
3	10	8

3	5	-2
7	0	3
3	-1	2

10	13	6
14	2	17
6	9	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

10	13	6
14	2	17
6	9	10

ï»¿

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

If A =

3	3	3
3	-2	6
1	2	5

,B =

4	4	4
6	5	8
2	6	4

and C=

3	3	-3
3	0	3
3	-1	3

(A+B) + C =

Answer: 10	Answer: 10	Answer: 4
Answer: 12	Answer: 3	Answer: 17
Answer: 6	Answer: 7	Answer: 12

SOLUTION 1 :

B+C =

4	4	4
6	5	8
2	6	4

3	3	-3
3	0	3
3	-1	3

7	7	1
9	5	11
5	5	7

A+(B+C)=

3	3	3
3	-2	6
1	2	5

7	7	1
9	5	11
5	5	7

10	10	4
12	3	17
6	7	12

...(1)

A+B

3	3	3
3	-2	6
1	2	5

4	4	4
6	5	8
2	6	4

7	7	7
9	3	14
3	8	9

(A+B)+C

7	7	7
9	3	14
3	8	9

3	3	-3
3	0	3
3	-1	3

10	10	4
12	3	17
6	7	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

10	10	4
12	3	17
6	7	12

ï»¿

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

If A =

2	3	3
4	-2	4
2	6	5

,B =

3	4	3
6	3	7
3	4	4

and C=

2	3	-3
7	0	3
3	-1	1

(A+B) + C =

Answer: 7	Answer: 10	Answer: 3
Answer: 17	Answer: 1	Answer: 14
Answer: 8	Answer: 9	Answer: 10

SOLUTION 1 :

B+C =

3	4	3
6	3	7
3	4	4

2	3	-3
7	0	3
3	-1	1

5	7	0
13	3	10
6	3	5

A+(B+C)=

2	3	3
4	-2	4
2	6	5

5	7	0
13	3	10
6	3	5

7	10	3
17	1	14
8	9	10

...(1)

A+B

2	3	3
4	-2	4
2	6	5

3	4	3
6	3	7
3	4	4

5	7	6
10	1	11
5	10	9

(A+B)+C

5	7	6
10	1	11
5	10	9

2	3	-3
7	0	3
3	-1	1

7	10	3
17	1	14
8	9	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

7	10	3
17	1	14
8	9	10

ï»¿

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

If A =

4	1	5
3	-2	4
2	4	4

,B =

4	2	4
7	4	6
4	7	4

and C=

2	3	-3
7	0	4
2	-1	2

(A+B) + C =

Answer: 10	Answer: 6	Answer: 6
Answer: 17	Answer: 2	Answer: 14
Answer: 8	Answer: 10	Answer: 10

SOLUTION 1 :

B+C =

4	2	4
7	4	6
4	7	4

2	3	-3
7	0	4
2	-1	2

6	5	1
14	4	10
6	6	6

A+(B+C)=

4	1	5
3	-2	4
2	4	4

6	5	1
14	4	10
6	6	6

10	6	6
17	2	14
8	10	10

...(1)

A+B

4	1	5
3	-2	4
2	4	4

4	2	4
7	4	6
4	7	4

8	3	9
10	2	10
6	11	8

(A+B)+C

8	3	9
10	2	10
6	11	8

2	3	-3
7	0	4
2	-1	2

10	6	6
17	2	14
8	10	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

10	6	6
17	2	14
8	10	10

ï»¿

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

If A =

2	2	4
2	-2	4
4	6	5

,B =

2	2	2
7	3	7
2	4	4

and C=

2	2	-2
5	0	4
2	-1	2

(A+B) + C =

Answer: 6	Answer: 6	Answer: 4
Answer: 14	Answer: 1	Answer: 15
Answer: 8	Answer: 9	Answer: 11

SOLUTION 1 :

B+C =

2	2	2
7	3	7
2	4	4

2	2	-2
5	0	4
2	-1	2

4	4	0
12	3	11
4	3	6

A+(B+C)=

2	2	4
2	-2	4
4	6	5

4	4	0
12	3	11
4	3	6

6	6	4
14	1	15
8	9	11

...(1)

A+B

2	2	4
2	-2	4
4	6	5

2	2	2
7	3	7
2	4	4

4	4	6
9	1	11
6	10	9

(A+B)+C

4	4	6
9	1	11
6	10	9

2	2	-2
5	0	4
2	-1	2

6	6	4
14	1	15
8	9	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

6	6	4
14	1	15
8	9	11

ï»¿

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

If A =

5	2	3
2	-2	5
4	5	5

,B =

2	3	4
7	4	6
3	4	4

and C=

1	4	-3
3	0	5
3	-1	3

(A+B) + C =

Answer: 8	Answer: 9	Answer: 4
Answer: 12	Answer: 2	Answer: 16
Answer: 10	Answer: 8	Answer: 12

SOLUTION 1 :

B+C =

2	3	4
7	4	6
3	4	4

1	4	-3
3	0	5
3	-1	3

3	7	1
10	4	11
6	3	7

A+(B+C)=

5	2	3
2	-2	5
4	5	5

3	7	1
10	4	11
6	3	7

8	9	4
12	2	16
10	8	12

...(1)

A+B

5	2	3
2	-2	5
4	5	5

2	3	4
7	4	6
3	4	4

7	5	7
9	2	11
7	9	9

(A+B)+C

7	5	7
9	2	11
7	9	9

1	4	-3
3	0	5
3	-1	3

8	9	4
12	2	16
10	8	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	9	4
12	2	16
10	8	12

ï»¿

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

If A =

3	1	2
3	-2	4
2	6	4

,B =

1	4	4
8	5	6
2	6	5

and C=

3	5	-2
6	0	3
1	-1	2

(A+B) + C =

Answer: 7	Answer: 10	Answer: 4
Answer: 17	Answer: 3	Answer: 13
Answer: 5	Answer: 11	Answer: 11

SOLUTION 1 :

B+C =

1	4	4
8	5	6
2	6	5

3	5	-2
6	0	3
1	-1	2

4	9	2
14	5	9
3	5	7

A+(B+C)=

3	1	2
3	-2	4
2	6	4

4	9	2
14	5	9
3	5	7

7	10	4
17	3	13
5	11	11

...(1)

A+B

3	1	2
3	-2	4
2	6	4

1	4	4
8	5	6
2	6	5

4	5	6
11	3	10
4	12	9

(A+B)+C

4	5	6
11	3	10
4	12	9

3	5	-2
6	0	3
1	-1	2

7	10	4
17	3	13
5	11	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

7	10	4
17	3	13
5	11	11

ï»¿

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

If A =

2	3	2
4	-2	6
1	4	3

,B =

4	3	3
8	5	7
4	4	6

and C=

4	3	-3
4	0	3
2	-1	2

(A+B) + C =

Answer: 10	Answer: 9	Answer: 2
Answer: 16	Answer: 3	Answer: 16
Answer: 7	Answer: 7	Answer: 11

SOLUTION 1 :

B+C =

4	3	3
8	5	7
4	4	6

4	3	-3
4	0	3
2	-1	2

8	6	0
12	5	10
6	3	8

A+(B+C)=

2	3	2
4	-2	6
1	4	3

8	6	0
12	5	10
6	3	8

10	9	2
16	3	16
7	7	11

...(1)

A+B

2	3	2
4	-2	6
1	4	3

4	3	3
8	5	7
4	4	6

6	6	5
12	3	13
5	8	9

(A+B)+C

6	6	5
12	3	13
5	8	9

4	3	-3
4	0	3
2	-1	2

10	9	2
16	3	16
7	7	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

10	9	2
16	3	16
7	7	11

ï»¿

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

If A =

3	3	2
2	-2	4
0	2	3

,B =

1	4	2
8	5	8
4	7	6

and C=

1	5	-1
4	0	5
3	-1	3

(A+B) + C =

Answer: 5	Answer: 12	Answer: 3
Answer: 14	Answer: 3	Answer: 17
Answer: 7	Answer: 8	Answer: 12

SOLUTION 1 :

B+C =

1	4	2
8	5	8
4	7	6

1	5	-1
4	0	5
3	-1	3

2	9	1
12	5	13
7	6	9

A+(B+C)=

3	3	2
2	-2	4
0	2	3

2	9	1
12	5	13
7	6	9

5	12	3
14	3	17
7	8	12

...(1)

A+B

3	3	2
2	-2	4
0	2	3

1	4	2
8	5	8
4	7	6

4	7	4
10	3	12
4	9	9

(A+B)+C

4	7	4
10	3	12
4	9	9

1	5	-1
4	0	5
3	-1	3

5	12	3
14	3	17
7	8	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

5	12	3
14	3	17
7	8	12

ï»¿

10)

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

If A =

4	2	2
4	-2	5
3	5	4

,B =

4	4	3
6	5	8
2	4	6

and C=

4	4	-2
5	0	5
3	-1	3

(A+B) + C =

Answer: 12	Answer: 10	Answer: 3
Answer: 15	Answer: 3	Answer: 18
Answer: 8	Answer: 8	Answer: 13

SOLUTION 1 :

B+C =

4	4	3
6	5	8
2	4	6

4	4	-2
5	0	5
3	-1	3

8	8	1
11	5	13
5	3	9

A+(B+C)=

4	2	2
4	-2	5
3	5	4

8	8	1
11	5	13
5	3	9

12	10	3
15	3	18
8	8	13

...(1)

A+B

4	2	2
4	-2	5
3	5	4

4	4	3
6	5	8
2	4	6

8	6	5
10	3	13
5	9	10

(A+B)+C

8	6	5
10	3	13
5	9	10

4	4	-2
5	0	5
3	-1	3

12	10	3
15	3	18
8	8	13

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

12	10	3
15	3	18
8	8	13

ï»¿