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 =

2	2	4
2	-2	3
4	3	2

,B =

4	4	2
4	5	6
3	7	6

and C=

1	3	-3
4	0	3
3	-1	3

(A+B) + C =

Answer:_______________

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

If A =

5	2	3
3	-2	5
1	5	4

,B =

3	2	2
8	5	7
3	5	4

and C=

3	4	-1
5	0	5
3	-1	3

(A+B) + C =

Answer:_______________

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

If A =

4	3	4
4	-2	2
0	6	5

,B =

2	5	2
5	4	8
2	4	5

and C=

2	2	-1
5	0	5
3	-1	1

(A+B) + C =

Answer:_______________

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

If A =

3	1	5
2	-2	2
1	2	5

,B =

1	3	3
8	5	6
2	7	4

and C=

3	2	-2
7	0	5
3	-1	2

(A+B) + C =

Answer:_______________

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

If A =

5	3	4
3	-2	4
1	5	2

,B =

4	4	3
5	5	8
1	7	5

and C=

4	2	-1
5	0	3
1	-1	1

(A+B) + C =

Answer:_______________

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

If A =

3	3	3
3	-2	2
4	3	2

,B =

3	3	3
6	5	7
4	5	4

and C=

2	5	-2
3	0	4
1	-1	3

(A+B) + C =

Answer:_______________

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

If A =

5	1	3
3	-2	5
2	4	5

,B =

2	4	3
8	3	8
4	5	4

and C=

1	5	-1
5	0	3
3	-1	2

(A+B) + C =

Answer:_______________

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

If A =

4	1	3
4	-2	6
3	6	3

,B =

4	4	4
4	3	8
4	4	4

and C=

4	4	-2
7	0	3
1	-1	1

(A+B) + C =

Answer:_______________

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

If A =

3	2	5
4	-2	6
0	3	2

,B =

2	3	2
8	3	8
2	7	6

and C=

1	3	-3
3	0	5
1	-1	2

(A+B) + C =

Answer:_______________

10)

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

If A =

4	1	5
2	-2	5
2	2	2

,B =

4	3	2
7	5	6
4	5	5

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 =

2	2	4
2	-2	3
4	3	2

,B =

4	4	2
4	5	6
3	7	6

and C=

1	3	-3
4	0	3
3	-1	3

(A+B) + C =

Answer: 7	Answer: 9	Answer: 3
Answer: 10	Answer: 3	Answer: 12
Answer: 10	Answer: 9	Answer: 11

SOLUTION 1 :

B+C =

4	4	2
4	5	6
3	7	6

1	3	-3
4	0	3
3	-1	3

5	7	-1
8	5	9
6	6	9

A+(B+C)=

2	2	4
2	-2	3
4	3	2

5	7	-1
8	5	9
6	6	9

7	9	3
10	3	12
10	9	11

...(1)

A+B

2	2	4
2	-2	3
4	3	2

4	4	2
4	5	6
3	7	6

6	6	6
6	3	9
7	10	8

(A+B)+C

6	6	6
6	3	9
7	10	8

1	3	-3
4	0	3
3	-1	3

7	9	3
10	3	12
10	9	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

7	9	3
10	3	12
10	9	11

ï»¿

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

If A =

5	2	3
3	-2	5
1	5	4

,B =

3	2	2
8	5	7
3	5	4

and C=

3	4	-1
5	0	5
3	-1	3

(A+B) + C =

Answer: 11	Answer: 8	Answer: 4
Answer: 16	Answer: 3	Answer: 17
Answer: 7	Answer: 9	Answer: 11

SOLUTION 1 :

B+C =

3	2	2
8	5	7
3	5	4

3	4	-1
5	0	5
3	-1	3

6	6	1
13	5	12
6	4	7

A+(B+C)=

5	2	3
3	-2	5
1	5	4

6	6	1
13	5	12
6	4	7

11	8	4
16	3	17
7	9	11

...(1)

A+B

5	2	3
3	-2	5
1	5	4

3	2	2
8	5	7
3	5	4

8	4	5
11	3	12
4	10	8

(A+B)+C

8	4	5
11	3	12
4	10	8

3	4	-1
5	0	5
3	-1	3

11	8	4
16	3	17
7	9	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

11	8	4
16	3	17
7	9	11

ï»¿

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

If A =

4	3	4
4	-2	2
0	6	5

,B =

2	5	2
5	4	8
2	4	5

and C=

2	2	-1
5	0	5
3	-1	1

(A+B) + C =

Answer: 8	Answer: 10	Answer: 5
Answer: 14	Answer: 2	Answer: 15
Answer: 5	Answer: 9	Answer: 11

SOLUTION 1 :

B+C =

2	5	2
5	4	8
2	4	5

2	2	-1
5	0	5
3	-1	1

4	7	1
10	4	13
5	3	6

A+(B+C)=

4	3	4
4	-2	2
0	6	5

4	7	1
10	4	13
5	3	6

8	10	5
14	2	15
5	9	11

...(1)

A+B

4	3	4
4	-2	2
0	6	5

2	5	2
5	4	8
2	4	5

6	8	6
9	2	10
2	10	10

(A+B)+C

6	8	6
9	2	10
2	10	10

2	2	-1
5	0	5
3	-1	1

8	10	5
14	2	15
5	9	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	10	5
14	2	15
5	9	11

ï»¿

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

If A =

3	1	5
2	-2	2
1	2	5

,B =

1	3	3
8	5	6
2	7	4

and C=

3	2	-2
7	0	5
3	-1	2

(A+B) + C =

Answer: 7	Answer: 6	Answer: 6
Answer: 17	Answer: 3	Answer: 13
Answer: 6	Answer: 8	Answer: 11

SOLUTION 1 :

B+C =

1	3	3
8	5	6
2	7	4

3	2	-2
7	0	5
3	-1	2

4	5	1
15	5	11
5	6	6

A+(B+C)=

3	1	5
2	-2	2
1	2	5

4	5	1
15	5	11
5	6	6

7	6	6
17	3	13
6	8	11

...(1)

A+B

3	1	5
2	-2	2
1	2	5

1	3	3
8	5	6
2	7	4

4	4	8
10	3	8
3	9	9

(A+B)+C

4	4	8
10	3	8
3	9	9

3	2	-2
7	0	5
3	-1	2

7	6	6
17	3	13
6	8	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

7	6	6
17	3	13
6	8	11

ï»¿

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

If A =

5	3	4
3	-2	4
1	5	2

,B =

4	4	3
5	5	8
1	7	5

and C=

4	2	-1
5	0	3
1	-1	1

(A+B) + C =

Answer: 13	Answer: 9	Answer: 6
Answer: 13	Answer: 3	Answer: 15
Answer: 3	Answer: 11	Answer: 8

SOLUTION 1 :

B+C =

4	4	3
5	5	8
1	7	5

4	2	-1
5	0	3
1	-1	1

8	6	2
10	5	11
2	6	6

A+(B+C)=

5	3	4
3	-2	4
1	5	2

8	6	2
10	5	11
2	6	6

13	9	6
13	3	15
3	11	8

...(1)

A+B

5	3	4
3	-2	4
1	5	2

4	4	3
5	5	8
1	7	5

9	7	7
8	3	12
2	12	7

(A+B)+C

9	7	7
8	3	12
2	12	7

4	2	-1
5	0	3
1	-1	1

13	9	6
13	3	15
3	11	8

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

13	9	6
13	3	15
3	11	8

ï»¿

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

If A =

3	3	3
3	-2	2
4	3	2

,B =

3	3	3
6	5	7
4	5	4

and C=

2	5	-2
3	0	4
1	-1	3

(A+B) + C =

Answer: 8	Answer: 11	Answer: 4
Answer: 12	Answer: 3	Answer: 13
Answer: 9	Answer: 7	Answer: 9

SOLUTION 1 :

B+C =

3	3	3
6	5	7
4	5	4

2	5	-2
3	0	4
1	-1	3

5	8	1
9	5	11
5	4	7

A+(B+C)=

3	3	3
3	-2	2
4	3	2

5	8	1
9	5	11
5	4	7

8	11	4
12	3	13
9	7	9

...(1)

A+B

3	3	3
3	-2	2
4	3	2

3	3	3
6	5	7
4	5	4

6	6	6
9	3	9
8	8	6

(A+B)+C

6	6	6
9	3	9
8	8	6

2	5	-2
3	0	4
1	-1	3

8	11	4
12	3	13
9	7	9

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	11	4
12	3	13
9	7	9

ï»¿

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

If A =

5	1	3
3	-2	5
2	4	5

,B =

2	4	3
8	3	8
4	5	4

and C=

1	5	-1
5	0	3
3	-1	2

(A+B) + C =

Answer: 8	Answer: 10	Answer: 5
Answer: 16	Answer: 1	Answer: 16
Answer: 9	Answer: 8	Answer: 11

SOLUTION 1 :

B+C =

2	4	3
8	3	8
4	5	4

1	5	-1
5	0	3
3	-1	2

3	9	2
13	3	11
7	4	6

A+(B+C)=

5	1	3
3	-2	5
2	4	5

3	9	2
13	3	11
7	4	6

8	10	5
16	1	16
9	8	11

...(1)

A+B

5	1	3
3	-2	5
2	4	5

2	4	3
8	3	8
4	5	4

7	5	6
11	1	13
6	9	9

(A+B)+C

7	5	6
11	1	13
6	9	9

1	5	-1
5	0	3
3	-1	2

8	10	5
16	1	16
9	8	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	10	5
16	1	16
9	8	11

ï»¿

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

If A =

4	1	3
4	-2	6
3	6	3

,B =

4	4	4
4	3	8
4	4	4

and C=

4	4	-2
7	0	3
1	-1	1

(A+B) + C =

Answer: 12	Answer: 9	Answer: 5
Answer: 15	Answer: 1	Answer: 17
Answer: 8	Answer: 9	Answer: 8

SOLUTION 1 :

B+C =

4	4	4
4	3	8
4	4	4

4	4	-2
7	0	3
1	-1	1

8	8	2
11	3	11
5	3	5

A+(B+C)=

4	1	3
4	-2	6
3	6	3

8	8	2
11	3	11
5	3	5

12	9	5
15	1	17
8	9	8

...(1)

A+B

4	1	3
4	-2	6
3	6	3

4	4	4
4	3	8
4	4	4

8	5	7
8	1	14
7	10	7

(A+B)+C

8	5	7
8	1	14
7	10	7

4	4	-2
7	0	3
1	-1	1

12	9	5
15	1	17
8	9	8

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

12	9	5
15	1	17
8	9	8

ï»¿

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

If A =

3	2	5
4	-2	6
0	3	2

,B =

2	3	2
8	3	8
2	7	6

and C=

1	3	-3
3	0	5
1	-1	2

(A+B) + C =

Answer: 6	Answer: 8	Answer: 4
Answer: 15	Answer: 1	Answer: 19
Answer: 3	Answer: 9	Answer: 10

SOLUTION 1 :

B+C =

2	3	2
8	3	8
2	7	6

1	3	-3
3	0	5
1	-1	2

3	6	-1
11	3	13
3	6	8

A+(B+C)=

3	2	5
4	-2	6
0	3	2

3	6	-1
11	3	13
3	6	8

6	8	4
15	1	19
3	9	10

...(1)

A+B

3	2	5
4	-2	6
0	3	2

2	3	2
8	3	8
2	7	6

5	5	7
12	1	14
2	10	8

(A+B)+C

5	5	7
12	1	14
2	10	8

1	3	-3
3	0	5
1	-1	2

6	8	4
15	1	19
3	9	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

6	8	4
15	1	19
3	9	10

ï»¿

10)

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

If A =

4	1	5
2	-2	5
2	2	2

,B =

4	3	2
7	5	6
4	5	5

and C=

4	3	-3
4	0	3
2	-1	2

(A+B) + C =

Answer: 12	Answer: 7	Answer: 4
Answer: 13	Answer: 3	Answer: 14
Answer: 8	Answer: 6	Answer: 9

SOLUTION 1 :

B+C =

4	3	2
7	5	6
4	5	5

4	3	-3
4	0	3
2	-1	2

8	6	-1
11	5	9
6	4	7

A+(B+C)=

4	1	5
2	-2	5
2	2	2

8	6	-1
11	5	9
6	4	7

12	7	4
13	3	14
8	6	9

...(1)

A+B

4	1	5
2	-2	5
2	2	2

4	3	2
7	5	6
4	5	5

8	4	7
9	3	11
6	7	7

(A+B)+C

8	4	7
9	3	11
6	7	7

4	3	-3
4	0	3
2	-1	2

12	7	4
13	3	14
8	6	9

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

12	7	4
13	3	14
8	6	9

ï»¿