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	3
2	-2	5
0	4	4

,B =

2	2	3
4	5	6
1	6	5

and C=

1	5	-2
5	0	4
3	-1	1

(A+B) + C =

Answer:_______________

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

If A =

4	2	3
3	-2	3
4	6	5

,B =

4	5	3
5	5	7
2	7	4

and C=

4	2	-3
4	0	2
1	-1	1

(A+B) + C =

Answer:_______________

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

If A =

5	2	4
4	-2	5
1	4	5

,B =

2	5	3
4	5	6
2	5	5

and C=

3	5	-2
3	0	4
3	-1	3

(A+B) + C =

Answer:_______________

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

If A =

2	1	3
3	-2	6
4	3	4

,B =

2	5	4
8	3	8
1	5	6

and C=

2	5	-1
6	0	2
1	-1	1

(A+B) + C =

Answer:_______________

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

If A =

5	3	5
2	-2	6
1	2	3

,B =

3	2	2
5	4	7
3	4	6

and C=

1	2	-3
5	0	3
1	-1	2

(A+B) + C =

Answer:_______________

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

If A =

3	2	5
3	-2	6
1	5	2

,B =

4	3	4
8	3	7
2	6	4

and C=

1	4	-3
3	0	3
2	-1	3

(A+B) + C =

Answer:_______________

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

If A =

3	2	5
2	-2	3
1	2	2

,B =

1	4	4
7	5	8
4	7	6

and C=

3	3	-1
3	0	2
3	-1	1

(A+B) + C =

Answer:_______________

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

If A =

3	3	5
4	-2	2
4	5	3

,B =

2	4	4
6	4	6
3	5	6

and C=

4	2	-2
7	0	5
1	-1	2

(A+B) + C =

Answer:_______________

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

If A =

3	1	2
2	-2	4
4	3	3

,B =

1	3	2
7	4	6
4	6	6

and C=

2	3	-3
4	0	3
2	-1	3

(A+B) + C =

Answer:_______________

10)

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

If A =

3	2	2
2	-2	5
3	4	5

,B =

4	5	3
5	3	7
2	4	4

and C=

4	3	-3
4	0	3
3	-1	3

(A+B) + C =

Answer:_______________

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

If A =

5	1	3
2	-2	5
0	4	4

,B =

2	2	3
4	5	6
1	6	5

and C=

1	5	-2
5	0	4
3	-1	1

(A+B) + C =

Answer: 8	Answer: 8	Answer: 4
Answer: 11	Answer: 3	Answer: 15
Answer: 4	Answer: 9	Answer: 10

SOLUTION 1 :

B+C =

2	2	3
4	5	6
1	6	5

1	5	-2
5	0	4
3	-1	1

3	7	1
9	5	10
4	5	6

A+(B+C)=

5	1	3
2	-2	5
0	4	4

3	7	1
9	5	10
4	5	6

8	8	4
11	3	15
4	9	10

...(1)

A+B

5	1	3
2	-2	5
0	4	4

2	2	3
4	5	6
1	6	5

7	3	6
6	3	11
1	10	9

(A+B)+C

7	3	6
6	3	11
1	10	9

1	5	-2
5	0	4
3	-1	1

8	8	4
11	3	15
4	9	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	8	4
11	3	15
4	9	10

ï»¿

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

If A =

4	2	3
3	-2	3
4	6	5

,B =

4	5	3
5	5	7
2	7	4

and C=

4	2	-3
4	0	2
1	-1	1

(A+B) + C =

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

SOLUTION 1 :

B+C =

4	5	3
5	5	7
2	7	4

4	2	-3
4	0	2
1	-1	1

8	7	0
9	5	9
3	6	5

A+(B+C)=

4	2	3
3	-2	3
4	6	5

8	7	0
9	5	9
3	6	5

12	9	3
12	3	12
7	12	10

...(1)

A+B

4	2	3
3	-2	3
4	6	5

4	5	3
5	5	7
2	7	4

8	7	6
8	3	10
6	13	9

(A+B)+C

8	7	6
8	3	10
6	13	9

4	2	-3
4	0	2
1	-1	1

12	9	3
12	3	12
7	12	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

12	9	3
12	3	12
7	12	10

ï»¿

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

If A =

5	2	4
4	-2	5
1	4	5

,B =

2	5	3
4	5	6
2	5	5

and C=

3	5	-2
3	0	4
3	-1	3

(A+B) + C =

Answer: 10	Answer: 12	Answer: 5
Answer: 11	Answer: 3	Answer: 15
Answer: 6	Answer: 8	Answer: 13

SOLUTION 1 :

B+C =

2	5	3
4	5	6
2	5	5

3	5	-2
3	0	4
3	-1	3

5	10	1
7	5	10
5	4	8

A+(B+C)=

5	2	4
4	-2	5
1	4	5

5	10	1
7	5	10
5	4	8

10	12	5
11	3	15
6	8	13

...(1)

A+B

5	2	4
4	-2	5
1	4	5

2	5	3
4	5	6
2	5	5

7	7	7
8	3	11
3	9	10

(A+B)+C

7	7	7
8	3	11
3	9	10

3	5	-2
3	0	4
3	-1	3

10	12	5
11	3	15
6	8	13

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

10	12	5
11	3	15
6	8	13

ï»¿

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

If A =

2	1	3
3	-2	6
4	3	4

,B =

2	5	4
8	3	8
1	5	6

and C=

2	5	-1
6	0	2
1	-1	1

(A+B) + C =

Answer: 6	Answer: 11	Answer: 6
Answer: 17	Answer: 1	Answer: 16
Answer: 6	Answer: 7	Answer: 11

SOLUTION 1 :

B+C =

2	5	4
8	3	8
1	5	6

2	5	-1
6	0	2
1	-1	1

4	10	3
14	3	10
2	4	7

A+(B+C)=

2	1	3
3	-2	6
4	3	4

4	10	3
14	3	10
2	4	7

6	11	6
17	1	16
6	7	11

...(1)

A+B

2	1	3
3	-2	6
4	3	4

2	5	4
8	3	8
1	5	6

4	6	7
11	1	14
5	8	10

(A+B)+C

4	6	7
11	1	14
5	8	10

2	5	-1
6	0	2
1	-1	1

6	11	6
17	1	16
6	7	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

6	11	6
17	1	16
6	7	11

ï»¿

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

If A =

5	3	5
2	-2	6
1	2	3

,B =

3	2	2
5	4	7
3	4	6

and C=

1	2	-3
5	0	3
1	-1	2

(A+B) + C =

Answer: 9	Answer: 7	Answer: 4
Answer: 12	Answer: 2	Answer: 16
Answer: 5	Answer: 5	Answer: 11

SOLUTION 1 :

B+C =

3	2	2
5	4	7
3	4	6

1	2	-3
5	0	3
1	-1	2

4	4	-1
10	4	10
4	3	8

A+(B+C)=

5	3	5
2	-2	6
1	2	3

4	4	-1
10	4	10
4	3	8

9	7	4
12	2	16
5	5	11

...(1)

A+B

5	3	5
2	-2	6
1	2	3

3	2	2
5	4	7
3	4	6

8	5	7
7	2	13
4	6	9

(A+B)+C

8	5	7
7	2	13
4	6	9

1	2	-3
5	0	3
1	-1	2

9	7	4
12	2	16
5	5	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

9	7	4
12	2	16
5	5	11

ï»¿

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

If A =

3	2	5
3	-2	6
1	5	2

,B =

4	3	4
8	3	7
2	6	4

and C=

1	4	-3
3	0	3
2	-1	3

(A+B) + C =

Answer: 8	Answer: 9	Answer: 6
Answer: 14	Answer: 1	Answer: 16
Answer: 5	Answer: 10	Answer: 9

SOLUTION 1 :

B+C =

4	3	4
8	3	7
2	6	4

1	4	-3
3	0	3
2	-1	3

5	7	1
11	3	10
4	5	7

A+(B+C)=

3	2	5
3	-2	6
1	5	2

5	7	1
11	3	10
4	5	7

8	9	6
14	1	16
5	10	9

...(1)

A+B

3	2	5
3	-2	6
1	5	2

4	3	4
8	3	7
2	6	4

7	5	9
11	1	13
3	11	6

(A+B)+C

7	5	9
11	1	13
3	11	6

1	4	-3
3	0	3
2	-1	3

8	9	6
14	1	16
5	10	9

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	9	6
14	1	16
5	10	9

ï»¿

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

If A =

3	2	5
2	-2	3
1	2	2

,B =

1	4	4
7	5	8
4	7	6

and C=

3	3	-1
3	0	2
3	-1	1

(A+B) + C =

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

SOLUTION 1 :

B+C =

1	4	4
7	5	8
4	7	6

3	3	-1
3	0	2
3	-1	1

4	7	3
10	5	10
7	6	7

A+(B+C)=

3	2	5
2	-2	3
1	2	2

4	7	3
10	5	10
7	6	7

7	9	8
12	3	13
8	8	9

...(1)

A+B

3	2	5
2	-2	3
1	2	2

1	4	4
7	5	8
4	7	6

4	6	9
9	3	11
5	9	8

(A+B)+C

4	6	9
9	3	11
5	9	8

3	3	-1
3	0	2
3	-1	1

7	9	8
12	3	13
8	8	9

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

7	9	8
12	3	13
8	8	9

ï»¿

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

If A =

3	3	5
4	-2	2
4	5	3

,B =

2	4	4
6	4	6
3	5	6

and C=

4	2	-2
7	0	5
1	-1	2

(A+B) + C =

Answer: 9	Answer: 9	Answer: 7
Answer: 17	Answer: 2	Answer: 13
Answer: 8	Answer: 9	Answer: 11

SOLUTION 1 :

B+C =

2	4	4
6	4	6
3	5	6

4	2	-2
7	0	5
1	-1	2

6	6	2
13	4	11
4	4	8

A+(B+C)=

3	3	5
4	-2	2
4	5	3

6	6	2
13	4	11
4	4	8

9	9	7
17	2	13
8	9	11

...(1)

A+B

3	3	5
4	-2	2
4	5	3

2	4	4
6	4	6
3	5	6

5	7	9
10	2	8
7	10	9

(A+B)+C

5	7	9
10	2	8
7	10	9

4	2	-2
7	0	5
1	-1	2

9	9	7
17	2	13
8	9	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

9	9	7
17	2	13
8	9	11

ï»¿

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

If A =

3	1	2
2	-2	4
4	3	3

,B =

1	3	2
7	4	6
4	6	6

and C=

2	3	-3
4	0	3
2	-1	3

(A+B) + C =

Answer: 6	Answer: 7	Answer: 1
Answer: 13	Answer: 2	Answer: 13
Answer: 10	Answer: 8	Answer: 12

SOLUTION 1 :

B+C =

1	3	2
7	4	6
4	6	6

2	3	-3
4	0	3
2	-1	3

3	6	-1
11	4	9
6	5	9

A+(B+C)=

3	1	2
2	-2	4
4	3	3

3	6	-1
11	4	9
6	5	9

6	7	1
13	2	13
10	8	12

...(1)

A+B

3	1	2
2	-2	4
4	3	3

1	3	2
7	4	6
4	6	6

4	4	4
9	2	10
8	9	9

(A+B)+C

4	4	4
9	2	10
8	9	9

2	3	-3
4	0	3
2	-1	3

6	7	1
13	2	13
10	8	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

6	7	1
13	2	13
10	8	12

ï»¿

10)

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

If A =

3	2	2
2	-2	5
3	4	5

,B =

4	5	3
5	3	7
2	4	4

and C=

4	3	-3
4	0	3
3	-1	3

(A+B) + C =

Answer: 11	Answer: 10	Answer: 2
Answer: 11	Answer: 1	Answer: 15
Answer: 8	Answer: 7	Answer: 12

SOLUTION 1 :

B+C =

4	5	3
5	3	7
2	4	4

4	3	-3
4	0	3
3	-1	3

8	8	0
9	3	10
5	3	7

A+(B+C)=

3	2	2
2	-2	5
3	4	5

8	8	0
9	3	10
5	3	7

11	10	2
11	1	15
8	7	12

...(1)

A+B

3	2	2
2	-2	5
3	4	5

4	5	3
5	3	7
2	4	4

7	7	5
7	1	12
5	8	9

(A+B)+C

7	7	5
7	1	12
5	8	9

4	3	-3
4	0	3
3	-1	3

11	10	2
11	1	15
8	7	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

11	10	2
11	1	15
8	7	12

ï»¿