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	1	4
3	-2	3
0	3	5

,B =

4	5	3
7	5	8
1	4	4

and C=

2	4	-3
5	0	5
2	-1	3

(A+B) + C =

Answer:_______________

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

If A =

5	2	3
3	-2	6
2	2	3

,B =

2	5	3
6	5	7
3	7	6

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 =

4	3	4
2	-2	6
4	3	4

,B =

3	3	4
7	3	7
2	4	5

and C=

1	2	-1
7	0	2
2	-1	2

(A+B) + C =

Answer:_______________

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

If A =

2	3	4
3	-2	6
3	6	3

,B =

2	5	3
4	4	6
2	6	4

and C=

1	4	-2
5	0	3
1	-1	1

(A+B) + C =

Answer:_______________

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

If A =

3	2	4
2	-2	3
2	4	5

,B =

4	2	4
4	5	8
1	6	5

and C=

3	3	-1
3	0	4
3	-1	2

(A+B) + C =

Answer:_______________

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

If A =

4	3	2
3	-2	6
0	4	2

,B =

3	3	2
8	3	8
2	6	6

and C=

4	3	-2
3	0	2
2	-1	1

(A+B) + C =

Answer:_______________

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

If A =

3	2	3
4	-2	4
2	4	3

,B =

4	3	3
8	3	7
1	4	4

and C=

3	4	-1
4	0	5
3	-1	3

(A+B) + C =

Answer:_______________

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

If A =

2	1	5
4	-2	3
2	2	4

,B =

1	5	3
7	4	7
3	4	5

and C=

2	5	-2
7	0	3
3	-1	3

(A+B) + C =

Answer:_______________

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

If A =

5	2	5
2	-2	5
1	5	2

,B =

4	4	2
6	5	8
3	6	5

and C=

1	5	-2
7	0	2
1	-1	2

(A+B) + C =

Answer:_______________

10)

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

If A =

2	1	4
4	-2	2
3	3	5

,B =

3	3	4
6	5	6
4	5	4

and C=

1	5	-2
7	0	5
2	-1	1

(A+B) + C =

Answer:_______________

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

If A =

2	1	4
3	-2	3
0	3	5

,B =

4	5	3
7	5	8
1	4	4

and C=

2	4	-3
5	0	5
2	-1	3

(A+B) + C =

Answer: 8	Answer: 10	Answer: 4
Answer: 15	Answer: 3	Answer: 16
Answer: 3	Answer: 6	Answer: 12

SOLUTION 1 :

B+C =

4	5	3
7	5	8
1	4	4

2	4	-3
5	0	5
2	-1	3

6	9	0
12	5	13
3	3	7

A+(B+C)=

2	1	4
3	-2	3
0	3	5

6	9	0
12	5	13
3	3	7

8	10	4
15	3	16
3	6	12

...(1)

A+B

2	1	4
3	-2	3
0	3	5

4	5	3
7	5	8
1	4	4

6	6	7
10	3	11
1	7	9

(A+B)+C

6	6	7
10	3	11
1	7	9

2	4	-3
5	0	5
2	-1	3

8	10	4
15	3	16
3	6	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	10	4
15	3	16
3	6	12

ï»¿

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

If A =

5	2	3
3	-2	6
2	2	3

,B =

2	5	3
6	5	7
3	7	6

and C=

1	4	-3
3	0	3
2	-1	3

(A+B) + C =

Answer: 8	Answer: 11	Answer: 3
Answer: 12	Answer: 3	Answer: 16
Answer: 7	Answer: 8	Answer: 12

SOLUTION 1 :

B+C =

2	5	3
6	5	7
3	7	6

1	4	-3
3	0	3
2	-1	3

3	9	0
9	5	10
5	6	9

A+(B+C)=

5	2	3
3	-2	6
2	2	3

3	9	0
9	5	10
5	6	9

8	11	3
12	3	16
7	8	12

...(1)

A+B

5	2	3
3	-2	6
2	2	3

2	5	3
6	5	7
3	7	6

7	7	6
9	3	13
5	9	9

(A+B)+C

7	7	6
9	3	13
5	9	9

1	4	-3
3	0	3
2	-1	3

8	11	3
12	3	16
7	8	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	11	3
12	3	16
7	8	12

ï»¿

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

If A =

4	3	4
2	-2	6
4	3	4

,B =

3	3	4
7	3	7
2	4	5

and C=

1	2	-1
7	0	2
2	-1	2

(A+B) + C =

Answer: 8	Answer: 8	Answer: 7
Answer: 16	Answer: 1	Answer: 15
Answer: 8	Answer: 6	Answer: 11

SOLUTION 1 :

B+C =

3	3	4
7	3	7
2	4	5

1	2	-1
7	0	2
2	-1	2

4	5	3
14	3	9
4	3	7

A+(B+C)=

4	3	4
2	-2	6
4	3	4

4	5	3
14	3	9
4	3	7

8	8	7
16	1	15
8	6	11

...(1)

A+B

4	3	4
2	-2	6
4	3	4

3	3	4
7	3	7
2	4	5

7	6	8
9	1	13
6	7	9

(A+B)+C

7	6	8
9	1	13
6	7	9

1	2	-1
7	0	2
2	-1	2

8	8	7
16	1	15
8	6	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	8	7
16	1	15
8	6	11

ï»¿

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

If A =

2	3	4
3	-2	6
3	6	3

,B =

2	5	3
4	4	6
2	6	4

and C=

1	4	-2
5	0	3
1	-1	1

(A+B) + C =

Answer: 5	Answer: 12	Answer: 5
Answer: 12	Answer: 2	Answer: 15
Answer: 6	Answer: 11	Answer: 8

SOLUTION 1 :

B+C =

2	5	3
4	4	6
2	6	4

1	4	-2
5	0	3
1	-1	1

3	9	1
9	4	9
3	5	5

A+(B+C)=

2	3	4
3	-2	6
3	6	3

3	9	1
9	4	9
3	5	5

5	12	5
12	2	15
6	11	8

...(1)

A+B

2	3	4
3	-2	6
3	6	3

2	5	3
4	4	6
2	6	4

4	8	7
7	2	12
5	12	7

(A+B)+C

4	8	7
7	2	12
5	12	7

1	4	-2
5	0	3
1	-1	1

5	12	5
12	2	15
6	11	8

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

5	12	5
12	2	15
6	11	8

ï»¿

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

If A =

3	2	4
2	-2	3
2	4	5

,B =

4	2	4
4	5	8
1	6	5

and C=

3	3	-1
3	0	4
3	-1	2

(A+B) + C =

Answer: 10	Answer: 7	Answer: 7
Answer: 9	Answer: 3	Answer: 15
Answer: 6	Answer: 9	Answer: 12

SOLUTION 1 :

B+C =

4	2	4
4	5	8
1	6	5

3	3	-1
3	0	4
3	-1	2

7	5	3
7	5	12
4	5	7

A+(B+C)=

3	2	4
2	-2	3
2	4	5

7	5	3
7	5	12
4	5	7

10	7	7
9	3	15
6	9	12

...(1)

A+B

3	2	4
2	-2	3
2	4	5

4	2	4
4	5	8
1	6	5

7	4	8
6	3	11
3	10	10

(A+B)+C

7	4	8
6	3	11
3	10	10

3	3	-1
3	0	4
3	-1	2

10	7	7
9	3	15
6	9	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

10	7	7
9	3	15
6	9	12

ï»¿

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

If A =

4	3	2
3	-2	6
0	4	2

,B =

3	3	2
8	3	8
2	6	6

and C=

4	3	-2
3	0	2
2	-1	1

(A+B) + C =

Answer: 11	Answer: 9	Answer: 2
Answer: 14	Answer: 1	Answer: 16
Answer: 4	Answer: 9	Answer: 9

SOLUTION 1 :

B+C =

3	3	2
8	3	8
2	6	6

4	3	-2
3	0	2
2	-1	1

7	6	0
11	3	10
4	5	7

A+(B+C)=

4	3	2
3	-2	6
0	4	2

7	6	0
11	3	10
4	5	7

11	9	2
14	1	16
4	9	9

...(1)

A+B

4	3	2
3	-2	6
0	4	2

3	3	2
8	3	8
2	6	6

7	6	4
11	1	14
2	10	8

(A+B)+C

7	6	4
11	1	14
2	10	8

4	3	-2
3	0	2
2	-1	1

11	9	2
14	1	16
4	9	9

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

11	9	2
14	1	16
4	9	9

ï»¿

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

If A =

3	2	3
4	-2	4
2	4	3

,B =

4	3	3
8	3	7
1	4	4

and C=

3	4	-1
4	0	5
3	-1	3

(A+B) + C =

Answer: 10	Answer: 9	Answer: 5
Answer: 16	Answer: 1	Answer: 16
Answer: 6	Answer: 7	Answer: 10

SOLUTION 1 :

B+C =

4	3	3
8	3	7
1	4	4

3	4	-1
4	0	5
3	-1	3

7	7	2
12	3	12
4	3	7

A+(B+C)=

3	2	3
4	-2	4
2	4	3

7	7	2
12	3	12
4	3	7

10	9	5
16	1	16
6	7	10

...(1)

A+B

3	2	3
4	-2	4
2	4	3

4	3	3
8	3	7
1	4	4

7	5	6
12	1	11
3	8	7

(A+B)+C

7	5	6
12	1	11
3	8	7

3	4	-1
4	0	5
3	-1	3

10	9	5
16	1	16
6	7	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

10	9	5
16	1	16
6	7	10

ï»¿

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

If A =

2	1	5
4	-2	3
2	2	4

,B =

1	5	3
7	4	7
3	4	5

and C=

2	5	-2
7	0	3
3	-1	3

(A+B) + C =

Answer: 5	Answer: 11	Answer: 6
Answer: 18	Answer: 2	Answer: 13
Answer: 8	Answer: 5	Answer: 12

SOLUTION 1 :

B+C =

1	5	3
7	4	7
3	4	5

2	5	-2
7	0	3
3	-1	3

3	10	1
14	4	10
6	3	8

A+(B+C)=

2	1	5
4	-2	3
2	2	4

3	10	1
14	4	10
6	3	8

5	11	6
18	2	13
8	5	12

...(1)

A+B

2	1	5
4	-2	3
2	2	4

1	5	3
7	4	7
3	4	5

3	6	8
11	2	10
5	6	9

(A+B)+C

3	6	8
11	2	10
5	6	9

2	5	-2
7	0	3
3	-1	3

5	11	6
18	2	13
8	5	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

5	11	6
18	2	13
8	5	12

ï»¿

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

If A =

5	2	5
2	-2	5
1	5	2

,B =

4	4	2
6	5	8
3	6	5

and C=

1	5	-2
7	0	2
1	-1	2

(A+B) + C =

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

SOLUTION 1 :

B+C =

4	4	2
6	5	8
3	6	5

1	5	-2
7	0	2
1	-1	2

5	9	0
13	5	10
4	5	7

A+(B+C)=

5	2	5
2	-2	5
1	5	2

5	9	0
13	5	10
4	5	7

10	11	5
15	3	15
5	10	9

...(1)

A+B

5	2	5
2	-2	5
1	5	2

4	4	2
6	5	8
3	6	5

9	6	7
8	3	13
4	11	7

(A+B)+C

9	6	7
8	3	13
4	11	7

1	5	-2
7	0	2
1	-1	2

10	11	5
15	3	15
5	10	9

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

10	11	5
15	3	15
5	10	9

ï»¿

10)

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

If A =

2	1	4
4	-2	2
3	3	5

,B =

3	3	4
6	5	6
4	5	4

and C=

1	5	-2
7	0	5
2	-1	1

(A+B) + C =

Answer: 6	Answer: 9	Answer: 6
Answer: 17	Answer: 3	Answer: 13
Answer: 9	Answer: 7	Answer: 10

SOLUTION 1 :

B+C =

3	3	4
6	5	6
4	5	4

1	5	-2
7	0	5
2	-1	1

4	8	2
13	5	11
6	4	5

A+(B+C)=

2	1	4
4	-2	2
3	3	5

4	8	2
13	5	11
6	4	5

6	9	6
17	3	13
9	7	10

...(1)

A+B

2	1	4
4	-2	2
3	3	5

3	3	4
6	5	6
4	5	4

5	4	8
10	3	8
7	8	9

(A+B)+C

5	4	8
10	3	8
7	8	9

1	5	-2
7	0	5
2	-1	1

6	9	6
17	3	13
9	7	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

6	9	6
17	3	13
9	7	10

ï»¿