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	3	4
4	-2	3
0	5	2

,B =

1	5	3
8	3	8
1	5	5

and C=

1	2	-2
3	0	2
3	-1	3

(A+B) + C =

Answer:_______________

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

If A =

4	2	5
2	-2	4
1	6	5

,B =

1	4	3
6	4	6
1	7	6

and C=

1	5	-1
3	0	2
3	-1	1

(A+B) + C =

Answer:_______________

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

If A =

4	2	5
2	-2	4
0	4	5

,B =

1	2	4
6	3	6
3	5	4

and C=

4	3	-1
3	0	4
3	-1	1

(A+B) + C =

Answer:_______________

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

If A =

4	3	3
3	-2	6
4	4	3

,B =

1	2	3
5	4	6
2	7	5

and C=

1	2	-1
6	0	2
3	-1	2

(A+B) + C =

Answer:_______________

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

If A =

3	1	5
4	-2	6
3	2	5

,B =

4	2	2
4	3	8
3	4	4

and C=

2	2	-2
6	0	4
2	-1	1

(A+B) + C =

Answer:_______________

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

If A =

3	1	5
3	-2	6
0	6	5

,B =

4	2	4
5	5	6
3	6	4

and C=

1	5	-1
5	0	5
2	-1	2

(A+B) + C =

Answer:_______________

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

If A =

3	1	5
4	-2	6
1	6	3

,B =

4	5	3
8	3	6
1	6	6

and C=

1	3	-2
6	0	4
3	-1	1

(A+B) + C =

Answer:_______________

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

If A =

5	1	3
3	-2	5
0	2	4

,B =

4	2	4
5	3	7
4	5	6

and C=

4	2	-3
5	0	4
1	-1	1

(A+B) + C =

Answer:_______________

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

If A =

4	3	5
4	-2	5
3	2	3

,B =

2	5	3
7	3	7
4	5	4

and C=

2	2	-2
3	0	3
3	-1	2

(A+B) + C =

Answer:_______________

10)

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

If A =

5	1	2
2	-2	2
2	6	3

,B =

2	3	3
4	5	6
1	4	6

and C=

3	3	-1
5	0	5
2	-1	3

(A+B) + C =

Answer:_______________

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

If A =

5	3	4
4	-2	3
0	5	2

,B =

1	5	3
8	3	8
1	5	5

and C=

1	2	-2
3	0	2
3	-1	3

(A+B) + C =

Answer: 7	Answer: 10	Answer: 5
Answer: 15	Answer: 1	Answer: 13
Answer: 4	Answer: 9	Answer: 10

SOLUTION 1 :

B+C =

1	5	3
8	3	8
1	5	5

1	2	-2
3	0	2
3	-1	3

2	7	1
11	3	10
4	4	8

A+(B+C)=

5	3	4
4	-2	3
0	5	2

2	7	1
11	3	10
4	4	8

7	10	5
15	1	13
4	9	10

...(1)

A+B

5	3	4
4	-2	3
0	5	2

1	5	3
8	3	8
1	5	5

6	8	7
12	1	11
1	10	7

(A+B)+C

6	8	7
12	1	11
1	10	7

1	2	-2
3	0	2
3	-1	3

7	10	5
15	1	13
4	9	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

7	10	5
15	1	13
4	9	10

ï»¿

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

If A =

4	2	5
2	-2	4
1	6	5

,B =

1	4	3
6	4	6
1	7	6

and C=

1	5	-1
3	0	2
3	-1	1

(A+B) + C =

Answer: 6	Answer: 11	Answer: 7
Answer: 11	Answer: 2	Answer: 12
Answer: 5	Answer: 12	Answer: 12

SOLUTION 1 :

B+C =

1	4	3
6	4	6
1	7	6

1	5	-1
3	0	2
3	-1	1

2	9	2
9	4	8
4	6	7

A+(B+C)=

4	2	5
2	-2	4
1	6	5

2	9	2
9	4	8
4	6	7

6	11	7
11	2	12
5	12	12

...(1)

A+B

4	2	5
2	-2	4
1	6	5

1	4	3
6	4	6
1	7	6

5	6	8
8	2	10
2	13	11

(A+B)+C

5	6	8
8	2	10
2	13	11

1	5	-1
3	0	2
3	-1	1

6	11	7
11	2	12
5	12	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

6	11	7
11	2	12
5	12	12

ï»¿

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

If A =

4	2	5
2	-2	4
0	4	5

,B =

1	2	4
6	3	6
3	5	4

and C=

4	3	-1
3	0	4
3	-1	1

(A+B) + C =

Answer: 9	Answer: 7	Answer: 8
Answer: 11	Answer: 1	Answer: 14
Answer: 6	Answer: 8	Answer: 10

SOLUTION 1 :

B+C =

1	2	4
6	3	6
3	5	4

4	3	-1
3	0	4
3	-1	1

5	5	3
9	3	10
6	4	5

A+(B+C)=

4	2	5
2	-2	4
0	4	5

5	5	3
9	3	10
6	4	5

9	7	8
11	1	14
6	8	10

...(1)

A+B

4	2	5
2	-2	4
0	4	5

1	2	4
6	3	6
3	5	4

5	4	9
8	1	10
3	9	9

(A+B)+C

5	4	9
8	1	10
3	9	9

4	3	-1
3	0	4
3	-1	1

9	7	8
11	1	14
6	8	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

9	7	8
11	1	14
6	8	10

ï»¿

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

If A =

4	3	3
3	-2	6
4	4	3

,B =

1	2	3
5	4	6
2	7	5

and C=

1	2	-1
6	0	2
3	-1	2

(A+B) + C =

Answer: 6	Answer: 7	Answer: 5
Answer: 14	Answer: 2	Answer: 14
Answer: 9	Answer: 10	Answer: 10

SOLUTION 1 :

B+C =

1	2	3
5	4	6
2	7	5

1	2	-1
6	0	2
3	-1	2

2	4	2
11	4	8
5	6	7

A+(B+C)=

4	3	3
3	-2	6
4	4	3

2	4	2
11	4	8
5	6	7

6	7	5
14	2	14
9	10	10

...(1)

A+B

4	3	3
3	-2	6
4	4	3

1	2	3
5	4	6
2	7	5

5	5	6
8	2	12
6	11	8

(A+B)+C

5	5	6
8	2	12
6	11	8

1	2	-1
6	0	2
3	-1	2

6	7	5
14	2	14
9	10	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

6	7	5
14	2	14
9	10	10

ï»¿

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

If A =

3	1	5
4	-2	6
3	2	5

,B =

4	2	2
4	3	8
3	4	4

and C=

2	2	-2
6	0	4
2	-1	1

(A+B) + C =

Answer: 9	Answer: 5	Answer: 5
Answer: 14	Answer: 1	Answer: 18
Answer: 8	Answer: 5	Answer: 10

SOLUTION 1 :

B+C =

4	2	2
4	3	8
3	4	4

2	2	-2
6	0	4
2	-1	1

6	4	0
10	3	12
5	3	5

A+(B+C)=

3	1	5
4	-2	6
3	2	5

6	4	0
10	3	12
5	3	5

9	5	5
14	1	18
8	5	10

...(1)

A+B

3	1	5
4	-2	6
3	2	5

4	2	2
4	3	8
3	4	4

7	3	7
8	1	14
6	6	9

(A+B)+C

7	3	7
8	1	14
6	6	9

2	2	-2
6	0	4
2	-1	1

9	5	5
14	1	18
8	5	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

9	5	5
14	1	18
8	5	10

ï»¿

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

If A =

3	1	5
3	-2	6
0	6	5

,B =

4	2	4
5	5	6
3	6	4

and C=

1	5	-1
5	0	5
2	-1	2

(A+B) + C =

Answer: 8	Answer: 8	Answer: 8
Answer: 13	Answer: 3	Answer: 17
Answer: 5	Answer: 11	Answer: 11

SOLUTION 1 :

B+C =

4	2	4
5	5	6
3	6	4

1	5	-1
5	0	5
2	-1	2

5	7	3
10	5	11
5	5	6

A+(B+C)=

3	1	5
3	-2	6
0	6	5

5	7	3
10	5	11
5	5	6

8	8	8
13	3	17
5	11	11

...(1)

A+B

3	1	5
3	-2	6
0	6	5

4	2	4
5	5	6
3	6	4

7	3	9
8	3	12
3	12	9

(A+B)+C

7	3	9
8	3	12
3	12	9

1	5	-1
5	0	5
2	-1	2

8	8	8
13	3	17
5	11	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	8	8
13	3	17
5	11	11

ï»¿

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

If A =

3	1	5
4	-2	6
1	6	3

,B =

4	5	3
8	3	6
1	6	6

and C=

1	3	-2
6	0	4
3	-1	1

(A+B) + C =

Answer: 8	Answer: 9	Answer: 6
Answer: 18	Answer: 1	Answer: 16
Answer: 5	Answer: 11	Answer: 10

SOLUTION 1 :

B+C =

4	5	3
8	3	6
1	6	6

1	3	-2
6	0	4
3	-1	1

5	8	1
14	3	10
4	5	7

A+(B+C)=

3	1	5
4	-2	6
1	6	3

5	8	1
14	3	10
4	5	7

8	9	6
18	1	16
5	11	10

...(1)

A+B

3	1	5
4	-2	6
1	6	3

4	5	3
8	3	6
1	6	6

7	6	8
12	1	12
2	12	9

(A+B)+C

7	6	8
12	1	12
2	12	9

1	3	-2
6	0	4
3	-1	1

8	9	6
18	1	16
5	11	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	9	6
18	1	16
5	11	10

ï»¿

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

If A =

5	1	3
3	-2	5
0	2	4

,B =

4	2	4
5	3	7
4	5	6

and C=

4	2	-3
5	0	4
1	-1	1

(A+B) + C =

Answer: 13	Answer: 5	Answer: 4
Answer: 13	Answer: 1	Answer: 16
Answer: 5	Answer: 6	Answer: 11

SOLUTION 1 :

B+C =

4	2	4
5	3	7
4	5	6

4	2	-3
5	0	4
1	-1	1

8	4	1
10	3	11
5	4	7

A+(B+C)=

5	1	3
3	-2	5
0	2	4

8	4	1
10	3	11
5	4	7

13	5	4
13	1	16
5	6	11

...(1)

A+B

5	1	3
3	-2	5
0	2	4

4	2	4
5	3	7
4	5	6

9	3	7
8	1	12
4	7	10

(A+B)+C

9	3	7
8	1	12
4	7	10

4	2	-3
5	0	4
1	-1	1

13	5	4
13	1	16
5	6	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

13	5	4
13	1	16
5	6	11

ï»¿

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

If A =

4	3	5
4	-2	5
3	2	3

,B =

2	5	3
7	3	7
4	5	4

and C=

2	2	-2
3	0	3
3	-1	2

(A+B) + C =

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

SOLUTION 1 :

B+C =

2	5	3
7	3	7
4	5	4

2	2	-2
3	0	3
3	-1	2

4	7	1
10	3	10
7	4	6

A+(B+C)=

4	3	5
4	-2	5
3	2	3

4	7	1
10	3	10
7	4	6

8	10	6
14	1	15
10	6	9

...(1)

A+B

4	3	5
4	-2	5
3	2	3

2	5	3
7	3	7
4	5	4

6	8	8
11	1	12
7	7	7

(A+B)+C

6	8	8
11	1	12
7	7	7

2	2	-2
3	0	3
3	-1	2

8	10	6
14	1	15
10	6	9

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	10	6
14	1	15
10	6	9

ï»¿

10)

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

If A =

5	1	2
2	-2	2
2	6	3

,B =

2	3	3
4	5	6
1	4	6

and C=

3	3	-1
5	0	5
2	-1	3

(A+B) + C =

Answer: 10	Answer: 7	Answer: 4
Answer: 11	Answer: 3	Answer: 13
Answer: 5	Answer: 9	Answer: 12

SOLUTION 1 :

B+C =

2	3	3
4	5	6
1	4	6

3	3	-1
5	0	5
2	-1	3

5	6	2
9	5	11
3	3	9

A+(B+C)=

5	1	2
2	-2	2
2	6	3

5	6	2
9	5	11
3	3	9

10	7	4
11	3	13
5	9	12

...(1)

A+B

5	1	2
2	-2	2
2	6	3

2	3	3
4	5	6
1	4	6

7	4	5
6	3	8
3	10	9

(A+B)+C

7	4	5
6	3	8
3	10	9

3	3	-1
5	0	5
2	-1	3

10	7	4
11	3	13
5	9	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

10	7	4
11	3	13
5	9	12

ï»¿