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	5
4	-2	6
1	5	3

,B =

4	2	3
6	4	8
1	5	4

and C=

2	5	-1
4	0	2
1	-1	2

(A+B) + C =

Answer:_______________

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

If A =

5	3	4
4	-2	4
1	6	2

,B =

2	3	4
6	3	7
3	5	6

and C=

2	2	-3
4	0	4
2	-1	1

(A+B) + C =

Answer:_______________

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

If A =

4	2	2
2	-2	4
2	5	4

,B =

4	3	2
8	5	7
3	4	6

and C=

2	5	-3
4	0	5
3	-1	3

(A+B) + C =

Answer:_______________

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

If A =

2	1	2
2	-2	4
4	4	3

,B =

2	3	3
4	5	8
3	6	6

and C=

4	5	-2
5	0	5
3	-1	3

(A+B) + C =

Answer:_______________

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

If A =

2	3	3
2	-2	6
0	3	3

,B =

4	4	4
8	4	6
3	5	6

and C=

3	3	-3
6	0	3
1	-1	2

(A+B) + C =

Answer:_______________

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

If A =

2	2	4
2	-2	3
3	5	5

,B =

3	5	2
6	4	8
3	6	4

and C=

4	4	-3
7	0	2
2	-1	3

(A+B) + C =

Answer:_______________

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

If A =

5	2	3
4	-2	2
1	2	5

,B =

3	5	3
4	5	6
4	7	5

and C=

1	4	-1
5	0	3
1	-1	2

(A+B) + C =

Answer:_______________

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

If A =

3	1	5
3	-2	3
1	4	3

,B =

4	5	2
8	3	6
4	4	4

and C=

2	2	-3
6	0	4
1	-1	2

(A+B) + C =

Answer:_______________

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

If A =

3	1	3
4	-2	6
4	6	5

,B =

4	5	2
6	5	8
4	6	5

and C=

4	2	-3
5	0	2
2	-1	2

(A+B) + C =

Answer:_______________

10)

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

If A =

2	2	4
3	-2	3
4	4	2

,B =

3	5	2
6	5	7
3	4	5

and C=

1	2	-1
3	0	2
1	-1	1

(A+B) + C =

Answer:_______________

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

If A =

2	2	5
4	-2	6
1	5	3

,B =

4	2	3
6	4	8
1	5	4

and C=

2	5	-1
4	0	2
1	-1	2

(A+B) + C =

Answer: 8	Answer: 9	Answer: 7
Answer: 14	Answer: 2	Answer: 16
Answer: 3	Answer: 9	Answer: 9

SOLUTION 1 :

B+C =

4	2	3
6	4	8
1	5	4

2	5	-1
4	0	2
1	-1	2

6	7	2
10	4	10
2	4	6

A+(B+C)=

2	2	5
4	-2	6
1	5	3

6	7	2
10	4	10
2	4	6

8	9	7
14	2	16
3	9	9

...(1)

A+B

2	2	5
4	-2	6
1	5	3

4	2	3
6	4	8
1	5	4

6	4	8
10	2	14
2	10	7

(A+B)+C

6	4	8
10	2	14
2	10	7

2	5	-1
4	0	2
1	-1	2

8	9	7
14	2	16
3	9	9

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	9	7
14	2	16
3	9	9

ï»¿

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

If A =

5	3	4
4	-2	4
1	6	2

,B =

2	3	4
6	3	7
3	5	6

and C=

2	2	-3
4	0	4
2	-1	1

(A+B) + C =

Answer: 9	Answer: 8	Answer: 5
Answer: 14	Answer: 1	Answer: 15
Answer: 6	Answer: 10	Answer: 9

SOLUTION 1 :

B+C =

2	3	4
6	3	7
3	5	6

2	2	-3
4	0	4
2	-1	1

4	5	1
10	3	11
5	4	7

A+(B+C)=

5	3	4
4	-2	4
1	6	2

4	5	1
10	3	11
5	4	7

9	8	5
14	1	15
6	10	9

...(1)

A+B

5	3	4
4	-2	4
1	6	2

2	3	4
6	3	7
3	5	6

7	6	8
10	1	11
4	11	8

(A+B)+C

7	6	8
10	1	11
4	11	8

2	2	-3
4	0	4
2	-1	1

9	8	5
14	1	15
6	10	9

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

9	8	5
14	1	15
6	10	9

ï»¿

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

If A =

4	2	2
2	-2	4
2	5	4

,B =

4	3	2
8	5	7
3	4	6

and C=

2	5	-3
4	0	5
3	-1	3

(A+B) + C =

Answer: 10	Answer: 10	Answer: 1
Answer: 14	Answer: 3	Answer: 16
Answer: 8	Answer: 8	Answer: 13

SOLUTION 1 :

B+C =

4	3	2
8	5	7
3	4	6

2	5	-3
4	0	5
3	-1	3

6	8	-1
12	5	12
6	3	9

A+(B+C)=

4	2	2
2	-2	4
2	5	4

6	8	-1
12	5	12
6	3	9

10	10	1
14	3	16
8	8	13

...(1)

A+B

4	2	2
2	-2	4
2	5	4

4	3	2
8	5	7
3	4	6

8	5	4
10	3	11
5	9	10

(A+B)+C

8	5	4
10	3	11
5	9	10

2	5	-3
4	0	5
3	-1	3

10	10	1
14	3	16
8	8	13

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

10	10	1
14	3	16
8	8	13

ï»¿

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

If A =

2	1	2
2	-2	4
4	4	3

,B =

2	3	3
4	5	8
3	6	6

and C=

4	5	-2
5	0	5
3	-1	3

(A+B) + C =

Answer: 8	Answer: 9	Answer: 3
Answer: 11	Answer: 3	Answer: 17
Answer: 10	Answer: 9	Answer: 12

SOLUTION 1 :

B+C =

2	3	3
4	5	8
3	6	6

4	5	-2
5	0	5
3	-1	3

6	8	1
9	5	13
6	5	9

A+(B+C)=

2	1	2
2	-2	4
4	4	3

6	8	1
9	5	13
6	5	9

8	9	3
11	3	17
10	9	12

...(1)

A+B

2	1	2
2	-2	4
4	4	3

2	3	3
4	5	8
3	6	6

4	4	5
6	3	12
7	10	9

(A+B)+C

4	4	5
6	3	12
7	10	9

4	5	-2
5	0	5
3	-1	3

8	9	3
11	3	17
10	9	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	9	3
11	3	17
10	9	12

ï»¿

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

If A =

2	3	3
2	-2	6
0	3	3

,B =

4	4	4
8	4	6
3	5	6

and C=

3	3	-3
6	0	3
1	-1	2

(A+B) + C =

Answer: 9	Answer: 10	Answer: 4
Answer: 16	Answer: 2	Answer: 15
Answer: 4	Answer: 7	Answer: 11

SOLUTION 1 :

B+C =

4	4	4
8	4	6
3	5	6

3	3	-3
6	0	3
1	-1	2

7	7	1
14	4	9
4	4	8

A+(B+C)=

2	3	3
2	-2	6
0	3	3

7	7	1
14	4	9
4	4	8

9	10	4
16	2	15
4	7	11

...(1)

A+B

2	3	3
2	-2	6
0	3	3

4	4	4
8	4	6
3	5	6

6	7	7
10	2	12
3	8	9

(A+B)+C

6	7	7
10	2	12
3	8	9

3	3	-3
6	0	3
1	-1	2

9	10	4
16	2	15
4	7	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

9	10	4
16	2	15
4	7	11

ï»¿

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

If A =

2	2	4
2	-2	3
3	5	5

,B =

3	5	2
6	4	8
3	6	4

and C=

4	4	-3
7	0	2
2	-1	3

(A+B) + C =

Answer: 9	Answer: 11	Answer: 3
Answer: 15	Answer: 2	Answer: 13
Answer: 8	Answer: 10	Answer: 12

SOLUTION 1 :

B+C =

3	5	2
6	4	8
3	6	4

4	4	-3
7	0	2
2	-1	3

7	9	-1
13	4	10
5	5	7

A+(B+C)=

2	2	4
2	-2	3
3	5	5

7	9	-1
13	4	10
5	5	7

9	11	3
15	2	13
8	10	12

...(1)

A+B

2	2	4
2	-2	3
3	5	5

3	5	2
6	4	8
3	6	4

5	7	6
8	2	11
6	11	9

(A+B)+C

5	7	6
8	2	11
6	11	9

4	4	-3
7	0	2
2	-1	3

9	11	3
15	2	13
8	10	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

9	11	3
15	2	13
8	10	12

ï»¿

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

If A =

5	2	3
4	-2	2
1	2	5

,B =

3	5	3
4	5	6
4	7	5

and C=

1	4	-1
5	0	3
1	-1	2

(A+B) + C =

Answer: 9	Answer: 11	Answer: 5
Answer: 13	Answer: 3	Answer: 11
Answer: 6	Answer: 8	Answer: 12

SOLUTION 1 :

B+C =

3	5	3
4	5	6
4	7	5

1	4	-1
5	0	3
1	-1	2

4	9	2
9	5	9
5	6	7

A+(B+C)=

5	2	3
4	-2	2
1	2	5

4	9	2
9	5	9
5	6	7

9	11	5
13	3	11
6	8	12

...(1)

A+B

5	2	3
4	-2	2
1	2	5

3	5	3
4	5	6
4	7	5

8	7	6
8	3	8
5	9	10

(A+B)+C

8	7	6
8	3	8
5	9	10

1	4	-1
5	0	3
1	-1	2

9	11	5
13	3	11
6	8	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

9	11	5
13	3	11
6	8	12

ï»¿

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

If A =

3	1	5
3	-2	3
1	4	3

,B =

4	5	2
8	3	6
4	4	4

and C=

2	2	-3
6	0	4
1	-1	2

(A+B) + C =

Answer: 9	Answer: 8	Answer: 4
Answer: 17	Answer: 1	Answer: 13
Answer: 6	Answer: 7	Answer: 9

SOLUTION 1 :

B+C =

4	5	2
8	3	6
4	4	4

2	2	-3
6	0	4
1	-1	2

6	7	-1
14	3	10
5	3	6

A+(B+C)=

3	1	5
3	-2	3
1	4	3

6	7	-1
14	3	10
5	3	6

9	8	4
17	1	13
6	7	9

...(1)

A+B

3	1	5
3	-2	3
1	4	3

4	5	2
8	3	6
4	4	4

7	6	7
11	1	9
5	8	7

(A+B)+C

7	6	7
11	1	9
5	8	7

2	2	-3
6	0	4
1	-1	2

9	8	4
17	1	13
6	7	9

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

9	8	4
17	1	13
6	7	9

ï»¿

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

If A =

3	1	3
4	-2	6
4	6	5

,B =

4	5	2
6	5	8
4	6	5

and C=

4	2	-3
5	0	2
2	-1	2

(A+B) + C =

Answer: 11	Answer: 8	Answer: 2
Answer: 15	Answer: 3	Answer: 16
Answer: 10	Answer: 11	Answer: 12

SOLUTION 1 :

B+C =

4	5	2
6	5	8
4	6	5

4	2	-3
5	0	2
2	-1	2

8	7	-1
11	5	10
6	5	7

A+(B+C)=

3	1	3
4	-2	6
4	6	5

8	7	-1
11	5	10
6	5	7

11	8	2
15	3	16
10	11	12

...(1)

A+B

3	1	3
4	-2	6
4	6	5

4	5	2
6	5	8
4	6	5

7	6	5
10	3	14
8	12	10

(A+B)+C

7	6	5
10	3	14
8	12	10

4	2	-3
5	0	2
2	-1	2

11	8	2
15	3	16
10	11	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

11	8	2
15	3	16
10	11	12

ï»¿

10)

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

If A =

2	2	4
3	-2	3
4	4	2

,B =

3	5	2
6	5	7
3	4	5

and C=

1	2	-1
3	0	2
1	-1	1

(A+B) + C =

Answer: 6	Answer: 9	Answer: 5
Answer: 12	Answer: 3	Answer: 12
Answer: 8	Answer: 7	Answer: 8

SOLUTION 1 :

B+C =

3	5	2
6	5	7
3	4	5

1	2	-1
3	0	2
1	-1	1

4	7	1
9	5	9
4	3	6

A+(B+C)=

2	2	4
3	-2	3
4	4	2

4	7	1
9	5	9
4	3	6

6	9	5
12	3	12
8	7	8

...(1)

A+B

2	2	4
3	-2	3
4	4	2

3	5	2
6	5	7
3	4	5

5	7	6
9	3	10
7	8	7

(A+B)+C

5	7	6
9	3	10
7	8	7

1	2	-1
3	0	2
1	-1	1

6	9	5
12	3	12
8	7	8

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

6	9	5
12	3	12
8	7	8

ï»¿