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 =

4	1	2
4	-2	3
4	2	4

,B =

1	4	4
4	4	8
2	7	5

and C=

2	3	-2
7	0	4
1	-1	2

(A+B) + C =

Answer:_______________

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

If A =

2	1	5
2	-2	2
1	3	4

,B =

1	4	2
8	4	7
1	6	5

and C=

4	5	-3
7	0	5
2	-1	2

(A+B) + C =

Answer:_______________

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

If A =

2	2	5
2	-2	3
0	5	4

,B =

4	4	4
8	3	6
2	4	5

and C=

4	4	-1
6	0	5
3	-1	3

(A+B) + C =

Answer:_______________

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

If A =

4	1	3
3	-2	4
0	5	3

,B =

3	3	2
8	5	6
3	5	4

and C=

4	3	-2
6	0	2
3	-1	2

(A+B) + C =

Answer:_______________

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

If A =

5	2	4
3	-2	2
1	5	3

,B =

1	4	2
5	3	7
4	5	5

and C=

3	4	-1
7	0	4
1	-1	1

(A+B) + C =

Answer:_______________

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

If A =

2	3	4
2	-2	2
4	3	5

,B =

3	4	2
8	5	8
1	7	5

and C=

1	3	-2
3	0	5
1	-1	2

(A+B) + C =

Answer:_______________

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

If A =

5	1	3
4	-2	3
4	2	2

,B =

3	2	4
4	4	6
3	4	4

and C=

1	3	-2
4	0	2
1	-1	3

(A+B) + C =

Answer:_______________

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

If A =

2	3	2
3	-2	4
3	4	4

,B =

4	4	3
7	3	7
3	4	4

and C=

1	4	-2
4	0	4
2	-1	1

(A+B) + C =

Answer:_______________

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

If A =

3	1	4
3	-2	5
4	6	5

,B =

1	2	4
5	4	6
3	6	5

and C=

1	4	-1
4	0	3
3	-1	2

(A+B) + C =

Answer:_______________

10)

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

If A =

2	2	4
4	-2	4
0	3	2

,B =

2	5	4
8	4	8
2	5	5

and C=

1	2	-1
7	0	5
3	-1	2

(A+B) + C =

Answer:_______________

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

If A =

4	1	2
4	-2	3
4	2	4

,B =

1	4	4
4	4	8
2	7	5

and C=

2	3	-2
7	0	4
1	-1	2

(A+B) + C =

Answer: 7	Answer: 8	Answer: 4
Answer: 15	Answer: 2	Answer: 15
Answer: 7	Answer: 8	Answer: 11

SOLUTION 1 :

B+C =

1	4	4
4	4	8
2	7	5

2	3	-2
7	0	4
1	-1	2

3	7	2
11	4	12
3	6	7

A+(B+C)=

4	1	2
4	-2	3
4	2	4

3	7	2
11	4	12
3	6	7

7	8	4
15	2	15
7	8	11

...(1)

A+B

4	1	2
4	-2	3
4	2	4

1	4	4
4	4	8
2	7	5

5	5	6
8	2	11
6	9	9

(A+B)+C

5	5	6
8	2	11
6	9	9

2	3	-2
7	0	4
1	-1	2

7	8	4
15	2	15
7	8	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

7	8	4
15	2	15
7	8	11

ï»¿

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

If A =

2	1	5
2	-2	2
1	3	4

,B =

1	4	2
8	4	7
1	6	5

and C=

4	5	-3
7	0	5
2	-1	2

(A+B) + C =

Answer: 7	Answer: 10	Answer: 4
Answer: 17	Answer: 2	Answer: 14
Answer: 4	Answer: 8	Answer: 11

SOLUTION 1 :

B+C =

1	4	2
8	4	7
1	6	5

4	5	-3
7	0	5
2	-1	2

5	9	-1
15	4	12
3	5	7

A+(B+C)=

2	1	5
2	-2	2
1	3	4

5	9	-1
15	4	12
3	5	7

7	10	4
17	2	14
4	8	11

...(1)

A+B

2	1	5
2	-2	2
1	3	4

1	4	2
8	4	7
1	6	5

3	5	7
10	2	9
2	9	9

(A+B)+C

3	5	7
10	2	9
2	9	9

4	5	-3
7	0	5
2	-1	2

7	10	4
17	2	14
4	8	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

7	10	4
17	2	14
4	8	11

ï»¿

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

If A =

2	2	5
2	-2	3
0	5	4

,B =

4	4	4
8	3	6
2	4	5

and C=

4	4	-1
6	0	5
3	-1	3

(A+B) + C =

Answer: 10	Answer: 10	Answer: 8
Answer: 16	Answer: 1	Answer: 14
Answer: 5	Answer: 8	Answer: 12

SOLUTION 1 :

B+C =

4	4	4
8	3	6
2	4	5

4	4	-1
6	0	5
3	-1	3

8	8	3
14	3	11
5	3	8

A+(B+C)=

2	2	5
2	-2	3
0	5	4

8	8	3
14	3	11
5	3	8

10	10	8
16	1	14
5	8	12

...(1)

A+B

2	2	5
2	-2	3
0	5	4

4	4	4
8	3	6
2	4	5

6	6	9
10	1	9
2	9	9

(A+B)+C

6	6	9
10	1	9
2	9	9

4	4	-1
6	0	5
3	-1	3

10	10	8
16	1	14
5	8	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

10	10	8
16	1	14
5	8	12

ï»¿

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

If A =

4	1	3
3	-2	4
0	5	3

,B =

3	3	2
8	5	6
3	5	4

and C=

4	3	-2
6	0	2
3	-1	2

(A+B) + C =

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

SOLUTION 1 :

B+C =

3	3	2
8	5	6
3	5	4

4	3	-2
6	0	2
3	-1	2

7	6	0
14	5	8
6	4	6

A+(B+C)=

4	1	3
3	-2	4
0	5	3

7	6	0
14	5	8
6	4	6

11	7	3
17	3	12
6	9	9

...(1)

A+B

4	1	3
3	-2	4
0	5	3

3	3	2
8	5	6
3	5	4

7	4	5
11	3	10
3	10	7

(A+B)+C

7	4	5
11	3	10
3	10	7

4	3	-2
6	0	2
3	-1	2

11	7	3
17	3	12
6	9	9

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

11	7	3
17	3	12
6	9	9

ï»¿

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

If A =

5	2	4
3	-2	2
1	5	3

,B =

1	4	2
5	3	7
4	5	5

and C=

3	4	-1
7	0	4
1	-1	1

(A+B) + C =

Answer: 9	Answer: 10	Answer: 5
Answer: 15	Answer: 1	Answer: 13
Answer: 6	Answer: 9	Answer: 9

SOLUTION 1 :

B+C =

1	4	2
5	3	7
4	5	5

3	4	-1
7	0	4
1	-1	1

4	8	1
12	3	11
5	4	6

A+(B+C)=

5	2	4
3	-2	2
1	5	3

4	8	1
12	3	11
5	4	6

9	10	5
15	1	13
6	9	9

...(1)

A+B

5	2	4
3	-2	2
1	5	3

1	4	2
5	3	7
4	5	5

6	6	6
8	1	9
5	10	8

(A+B)+C

6	6	6
8	1	9
5	10	8

3	4	-1
7	0	4
1	-1	1

9	10	5
15	1	13
6	9	9

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

9	10	5
15	1	13
6	9	9

ï»¿

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

If A =

2	3	4
2	-2	2
4	3	5

,B =

3	4	2
8	5	8
1	7	5

and C=

1	3	-2
3	0	5
1	-1	2

(A+B) + C =

Answer: 6	Answer: 10	Answer: 4
Answer: 13	Answer: 3	Answer: 15
Answer: 6	Answer: 9	Answer: 12

SOLUTION 1 :

B+C =

3	4	2
8	5	8
1	7	5

1	3	-2
3	0	5
1	-1	2

4	7	0
11	5	13
2	6	7

A+(B+C)=

2	3	4
2	-2	2
4	3	5

4	7	0
11	5	13
2	6	7

6	10	4
13	3	15
6	9	12

...(1)

A+B

2	3	4
2	-2	2
4	3	5

3	4	2
8	5	8
1	7	5

5	7	6
10	3	10
5	10	10

(A+B)+C

5	7	6
10	3	10
5	10	10

1	3	-2
3	0	5
1	-1	2

6	10	4
13	3	15
6	9	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

6	10	4
13	3	15
6	9	12

ï»¿

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

If A =

5	1	3
4	-2	3
4	2	2

,B =

3	2	4
4	4	6
3	4	4

and C=

1	3	-2
4	0	2
1	-1	3

(A+B) + C =

Answer: 9	Answer: 6	Answer: 5
Answer: 12	Answer: 2	Answer: 11
Answer: 8	Answer: 5	Answer: 9

SOLUTION 1 :

B+C =

3	2	4
4	4	6
3	4	4

1	3	-2
4	0	2
1	-1	3

4	5	2
8	4	8
4	3	7

A+(B+C)=

5	1	3
4	-2	3
4	2	2

4	5	2
8	4	8
4	3	7

9	6	5
12	2	11
8	5	9

...(1)

A+B

5	1	3
4	-2	3
4	2	2

3	2	4
4	4	6
3	4	4

8	3	7
8	2	9
7	6	6

(A+B)+C

8	3	7
8	2	9
7	6	6

1	3	-2
4	0	2
1	-1	3

9	6	5
12	2	11
8	5	9

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

9	6	5
12	2	11
8	5	9

ï»¿

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

If A =

2	3	2
3	-2	4
3	4	4

,B =

4	4	3
7	3	7
3	4	4

and C=

1	4	-2
4	0	4
2	-1	1

(A+B) + C =

Answer: 7	Answer: 11	Answer: 3
Answer: 14	Answer: 1	Answer: 15
Answer: 8	Answer: 7	Answer: 9

SOLUTION 1 :

B+C =

4	4	3
7	3	7
3	4	4

1	4	-2
4	0	4
2	-1	1

5	8	1
11	3	11
5	3	5

A+(B+C)=

2	3	2
3	-2	4
3	4	4

5	8	1
11	3	11
5	3	5

7	11	3
14	1	15
8	7	9

...(1)

A+B

2	3	2
3	-2	4
3	4	4

4	4	3
7	3	7
3	4	4

6	7	5
10	1	11
6	8	8

(A+B)+C

6	7	5
10	1	11
6	8	8

1	4	-2
4	0	4
2	-1	1

7	11	3
14	1	15
8	7	9

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

7	11	3
14	1	15
8	7	9

ï»¿

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

If A =

3	1	4
3	-2	5
4	6	5

,B =

1	2	4
5	4	6
3	6	5

and C=

1	4	-1
4	0	3
3	-1	2

(A+B) + C =

Answer: 5	Answer: 7	Answer: 7
Answer: 12	Answer: 2	Answer: 14
Answer: 10	Answer: 11	Answer: 12

SOLUTION 1 :

B+C =

1	2	4
5	4	6
3	6	5

1	4	-1
4	0	3
3	-1	2

2	6	3
9	4	9
6	5	7

A+(B+C)=

3	1	4
3	-2	5
4	6	5

2	6	3
9	4	9
6	5	7

5	7	7
12	2	14
10	11	12

...(1)

A+B

3	1	4
3	-2	5
4	6	5

1	2	4
5	4	6
3	6	5

4	3	8
8	2	11
7	12	10

(A+B)+C

4	3	8
8	2	11
7	12	10

1	4	-1
4	0	3
3	-1	2

5	7	7
12	2	14
10	11	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

5	7	7
12	2	14
10	11	12

ï»¿

10)

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

If A =

2	2	4
4	-2	4
0	3	2

,B =

2	5	4
8	4	8
2	5	5

and C=

1	2	-1
7	0	5
3	-1	2

(A+B) + C =

Answer: 5	Answer: 9	Answer: 7
Answer: 19	Answer: 2	Answer: 17
Answer: 5	Answer: 7	Answer: 9

SOLUTION 1 :

B+C =

2	5	4
8	4	8
2	5	5

1	2	-1
7	0	5
3	-1	2

3	7	3
15	4	13
5	4	7

A+(B+C)=

2	2	4
4	-2	4
0	3	2

3	7	3
15	4	13
5	4	7

5	9	7
19	2	17
5	7	9

...(1)

A+B

2	2	4
4	-2	4
0	3	2

2	5	4
8	4	8
2	5	5

4	7	8
12	2	12
2	8	7

(A+B)+C

4	7	8
12	2	12
2	8	7

1	2	-1
7	0	5
3	-1	2

5	9	7
19	2	17
5	7	9

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

5	9	7
19	2	17
5	7	9

ï»¿