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	1	5
3	-2	4
2	3	2

,B =

1	4	3
8	5	6
1	6	4

and C=

1	4	-3
4	0	5
1	-1	2

(A+B) + C =

Answer:_______________

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

If A =

3	2	4
4	-2	3
0	5	4

,B =

1	4	3
5	4	7
2	7	6

and C=

3	4	-3
4	0	2
1	-1	3

(A+B) + C =

Answer:_______________

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

If A =

4	2	3
4	-2	3
3	3	5

,B =

4	2	3
7	5	6
2	4	4

and C=

2	4	-2
4	0	4
1	-1	2

(A+B) + C =

Answer:_______________

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

If A =

3	3	4
2	-2	2
3	5	3

,B =

2	4	2
7	4	8
4	4	5

and C=

2	5	-2
4	0	2
3	-1	3

(A+B) + C =

Answer:_______________

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

If A =

2	1	2
4	-2	2
2	3	4

,B =

2	2	4
7	5	7
4	4	6

and C=

1	4	-2
6	0	3
3	-1	1

(A+B) + C =

Answer:_______________

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

If A =

5	1	3
4	-2	2
0	5	4

,B =

1	2	2
7	5	7
2	4	4

and C=

1	4	-3
7	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
4	3	2

,B =

2	3	2
5	4	7
3	5	4

and C=

2	4	-2
4	0	5
3	-1	1

(A+B) + C =

Answer:_______________

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

If A =

2	1	4
3	-2	4
1	3	5

,B =

1	5	2
5	5	7
3	4	5

and C=

3	4	-1
4	0	2
1	-1	1

(A+B) + C =

Answer:_______________

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

If A =

3	1	2
3	-2	4
1	5	4

,B =

4	5	3
8	3	6
2	5	5

and C=

4	2	-2
4	0	5
2	-1	1

(A+B) + C =

Answer:_______________

10)

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

If A =

3	3	4
2	-2	3
3	5	5

,B =

4	3	4
5	5	6
4	5	4

and C=

2	5	-1
4	0	3
1	-1	1

(A+B) + C =

Answer:_______________

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

If A =

3	1	5
3	-2	4
2	3	2

,B =

1	4	3
8	5	6
1	6	4

and C=

1	4	-3
4	0	5
1	-1	2

(A+B) + C =

Answer: 5	Answer: 9	Answer: 5
Answer: 15	Answer: 3	Answer: 15
Answer: 4	Answer: 8	Answer: 8

SOLUTION 1 :

B+C =

1	4	3
8	5	6
1	6	4

1	4	-3
4	0	5
1	-1	2

2	8	0
12	5	11
2	5	6

A+(B+C)=

3	1	5
3	-2	4
2	3	2

2	8	0
12	5	11
2	5	6

5	9	5
15	3	15
4	8	8

...(1)

A+B

3	1	5
3	-2	4
2	3	2

1	4	3
8	5	6
1	6	4

4	5	8
11	3	10
3	9	6

(A+B)+C

4	5	8
11	3	10
3	9	6

1	4	-3
4	0	5
1	-1	2

5	9	5
15	3	15
4	8	8

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

5	9	5
15	3	15
4	8	8

ï»¿

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

If A =

3	2	4
4	-2	3
0	5	4

,B =

1	4	3
5	4	7
2	7	6

and C=

3	4	-3
4	0	2
1	-1	3

(A+B) + C =

Answer: 7	Answer: 10	Answer: 4
Answer: 13	Answer: 2	Answer: 12
Answer: 3	Answer: 11	Answer: 13

SOLUTION 1 :

B+C =

1	4	3
5	4	7
2	7	6

3	4	-3
4	0	2
1	-1	3

4	8	0
9	4	9
3	6	9

A+(B+C)=

3	2	4
4	-2	3
0	5	4

4	8	0
9	4	9
3	6	9

7	10	4
13	2	12
3	11	13

...(1)

A+B

3	2	4
4	-2	3
0	5	4

1	4	3
5	4	7
2	7	6

4	6	7
9	2	10
2	12	10

(A+B)+C

4	6	7
9	2	10
2	12	10

3	4	-3
4	0	2
1	-1	3

7	10	4
13	2	12
3	11	13

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

7	10	4
13	2	12
3	11	13

ï»¿

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

If A =

4	2	3
4	-2	3
3	3	5

,B =

4	2	3
7	5	6
2	4	4

and C=

2	4	-2
4	0	4
1	-1	2

(A+B) + C =

Answer: 10	Answer: 8	Answer: 4
Answer: 15	Answer: 3	Answer: 13
Answer: 6	Answer: 6	Answer: 11

SOLUTION 1 :

B+C =

4	2	3
7	5	6
2	4	4

2	4	-2
4	0	4
1	-1	2

6	6	1
11	5	10
3	3	6

A+(B+C)=

4	2	3
4	-2	3
3	3	5

6	6	1
11	5	10
3	3	6

10	8	4
15	3	13
6	6	11

...(1)

A+B

4	2	3
4	-2	3
3	3	5

4	2	3
7	5	6
2	4	4

8	4	6
11	3	9
5	7	9

(A+B)+C

8	4	6
11	3	9
5	7	9

2	4	-2
4	0	4
1	-1	2

10	8	4
15	3	13
6	6	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

10	8	4
15	3	13
6	6	11

ï»¿

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

If A =

3	3	4
2	-2	2
3	5	3

,B =

2	4	2
7	4	8
4	4	5

and C=

2	5	-2
4	0	2
3	-1	3

(A+B) + C =

Answer: 7	Answer: 12	Answer: 4
Answer: 13	Answer: 2	Answer: 12
Answer: 10	Answer: 8	Answer: 11

SOLUTION 1 :

B+C =

2	4	2
7	4	8
4	4	5

2	5	-2
4	0	2
3	-1	3

4	9	0
11	4	10
7	3	8

A+(B+C)=

3	3	4
2	-2	2
3	5	3

4	9	0
11	4	10
7	3	8

7	12	4
13	2	12
10	8	11

...(1)

A+B

3	3	4
2	-2	2
3	5	3

2	4	2
7	4	8
4	4	5

5	7	6
9	2	10
7	9	8

(A+B)+C

5	7	6
9	2	10
7	9	8

2	5	-2
4	0	2
3	-1	3

7	12	4
13	2	12
10	8	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

7	12	4
13	2	12
10	8	11

ï»¿

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

If A =

2	1	2
4	-2	2
2	3	4

,B =

2	2	4
7	5	7
4	4	6

and C=

1	4	-2
6	0	3
3	-1	1

(A+B) + C =

Answer: 5	Answer: 7	Answer: 4
Answer: 17	Answer: 3	Answer: 12
Answer: 9	Answer: 6	Answer: 11

SOLUTION 1 :

B+C =

2	2	4
7	5	7
4	4	6

1	4	-2
6	0	3
3	-1	1

3	6	2
13	5	10
7	3	7

A+(B+C)=

2	1	2
4	-2	2
2	3	4

3	6	2
13	5	10
7	3	7

5	7	4
17	3	12
9	6	11

...(1)

A+B

2	1	2
4	-2	2
2	3	4

2	2	4
7	5	7
4	4	6

4	3	6
11	3	9
6	7	10

(A+B)+C

4	3	6
11	3	9
6	7	10

1	4	-2
6	0	3
3	-1	1

5	7	4
17	3	12
9	6	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

5	7	4
17	3	12
9	6	11

ï»¿

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

If A =

5	1	3
4	-2	2
0	5	4

,B =

1	2	2
7	5	7
2	4	4

and C=

1	4	-3
7	0	4
2	-1	1

(A+B) + C =

Answer: 7	Answer: 7	Answer: 2
Answer: 18	Answer: 3	Answer: 13
Answer: 4	Answer: 8	Answer: 9

SOLUTION 1 :

B+C =

1	2	2
7	5	7
2	4	4

1	4	-3
7	0	4
2	-1	1

2	6	-1
14	5	11
4	3	5

A+(B+C)=

5	1	3
4	-2	2
0	5	4

2	6	-1
14	5	11
4	3	5

7	7	2
18	3	13
4	8	9

...(1)

A+B

5	1	3
4	-2	2
0	5	4

1	2	2
7	5	7
2	4	4

6	3	5
11	3	9
2	9	8

(A+B)+C

6	3	5
11	3	9
2	9	8

1	4	-3
7	0	4
2	-1	1

7	7	2
18	3	13
4	8	9

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

7	7	2
18	3	13
4	8	9

ï»¿

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

If A =

3	1	2
2	-2	2
4	3	2

,B =

2	3	2
5	4	7
3	5	4

and C=

2	4	-2
4	0	5
3	-1	1

(A+B) + C =

Answer: 7	Answer: 8	Answer: 2
Answer: 11	Answer: 2	Answer: 14
Answer: 10	Answer: 7	Answer: 7

SOLUTION 1 :

B+C =

2	3	2
5	4	7
3	5	4

2	4	-2
4	0	5
3	-1	1

4	7	0
9	4	12
6	4	5

A+(B+C)=

3	1	2
2	-2	2
4	3	2

4	7	0
9	4	12
6	4	5

7	8	2
11	2	14
10	7	7

...(1)

A+B

3	1	2
2	-2	2
4	3	2

2	3	2
5	4	7
3	5	4

5	4	4
7	2	9
7	8	6

(A+B)+C

5	4	4
7	2	9
7	8	6

2	4	-2
4	0	5
3	-1	1

7	8	2
11	2	14
10	7	7

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

7	8	2
11	2	14
10	7	7

ï»¿

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

If A =

2	1	4
3	-2	4
1	3	5

,B =

1	5	2
5	5	7
3	4	5

and C=

3	4	-1
4	0	2
1	-1	1

(A+B) + C =

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

SOLUTION 1 :

B+C =

1	5	2
5	5	7
3	4	5

3	4	-1
4	0	2
1	-1	1

4	9	1
9	5	9
4	3	6

A+(B+C)=

2	1	4
3	-2	4
1	3	5

4	9	1
9	5	9
4	3	6

6	10	5
12	3	13
5	6	11

...(1)

A+B

2	1	4
3	-2	4
1	3	5

1	5	2
5	5	7
3	4	5

3	6	6
8	3	11
4	7	10

(A+B)+C

3	6	6
8	3	11
4	7	10

3	4	-1
4	0	2
1	-1	1

6	10	5
12	3	13
5	6	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

6	10	5
12	3	13
5	6	11

ï»¿

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

If A =

3	1	2
3	-2	4
1	5	4

,B =

4	5	3
8	3	6
2	5	5

and C=

4	2	-2
4	0	5
2	-1	1

(A+B) + C =

Answer: 11	Answer: 8	Answer: 3
Answer: 15	Answer: 1	Answer: 15
Answer: 5	Answer: 9	Answer: 10

SOLUTION 1 :

B+C =

4	5	3
8	3	6
2	5	5

4	2	-2
4	0	5
2	-1	1

8	7	1
12	3	11
4	4	6

A+(B+C)=

3	1	2
3	-2	4
1	5	4

8	7	1
12	3	11
4	4	6

11	8	3
15	1	15
5	9	10

...(1)

A+B

3	1	2
3	-2	4
1	5	4

4	5	3
8	3	6
2	5	5

7	6	5
11	1	10
3	10	9

(A+B)+C

7	6	5
11	1	10
3	10	9

4	2	-2
4	0	5
2	-1	1

11	8	3
15	1	15
5	9	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

11	8	3
15	1	15
5	9	10

ï»¿

10)

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

If A =

3	3	4
2	-2	3
3	5	5

,B =

4	3	4
5	5	6
4	5	4

and C=

2	5	-1
4	0	3
1	-1	1

(A+B) + C =

Answer: 9	Answer: 11	Answer: 7
Answer: 11	Answer: 3	Answer: 12
Answer: 8	Answer: 9	Answer: 10

SOLUTION 1 :

B+C =

4	3	4
5	5	6
4	5	4

2	5	-1
4	0	3
1	-1	1

6	8	3
9	5	9
5	4	5

A+(B+C)=

3	3	4
2	-2	3
3	5	5

6	8	3
9	5	9
5	4	5

9	11	7
11	3	12
8	9	10

...(1)

A+B

3	3	4
2	-2	3
3	5	5

4	3	4
5	5	6
4	5	4

7	6	8
7	3	9
7	10	9

(A+B)+C

7	6	8
7	3	9
7	10	9

2	5	-1
4	0	3
1	-1	1

9	11	7
11	3	12
8	9	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

9	11	7
11	3	12
8	9	10

ï»¿