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	6
2	6	5

,B =

4	3	2
7	4	8
3	4	4

and C=

1	4	-1
7	0	3
2	-1	1

(A+B) + C =

Answer:_______________

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

If A =

2	3	2
2	-2	5
0	3	5

,B =

3	4	3
4	3	8
1	7	5

and C=

1	5	-2
3	0	4
2	-1	2

(A+B) + C =

Answer:_______________

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

If A =

4	1	3
3	-2	3
1	3	3

,B =

4	4	3
8	4	6
4	7	4

and C=

1	5	-1
7	0	5
2	-1	2

(A+B) + C =

Answer:_______________

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

If A =

2	1	4
4	-2	3
0	5	2

,B =

3	3	4
4	4	7
1	6	4

and C=

2	2	-3
7	0	5
1	-1	3

(A+B) + C =

Answer:_______________

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

If A =

5	2	5
4	-2	4
3	2	3

,B =

2	2	3
5	5	8
3	7	4

and C=

1	2	-3
4	0	3
3	-1	3

(A+B) + C =

Answer:_______________

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

If A =

4	2	2
4	-2	4
2	4	3

,B =

4	2	4
7	5	8
4	6	4

and C=

2	3	-1
5	0	3
3	-1	1

(A+B) + C =

Answer:_______________

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

If A =

5	1	3
4	-2	3
3	2	4

,B =

1	3	4
8	5	8
3	5	6

and C=

4	5	-1
4	0	5
1	-1	3

(A+B) + C =

Answer:_______________

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

If A =

2	3	5
3	-2	6
1	5	4

,B =

4	4	3
8	3	6
3	7	4

and C=

2	3	-3
7	0	4
1	-1	1

(A+B) + C =

Answer:_______________

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

If A =

2	1	5
2	-2	4
2	3	4

,B =

4	4	3
6	4	8
1	4	5

and C=

1	2	-2
6	0	2
1	-1	3

(A+B) + C =

Answer:_______________

10)

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

If A =

4	2	5
3	-2	3
0	3	5

,B =

1	2	3
6	4	8
4	5	5

and C=

2	4	-3
7	0	4
3	-1	1

(A+B) + C =

Answer:_______________

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

If A =

5	3	4
4	-2	6
2	6	5

,B =

4	3	2
7	4	8
3	4	4

and C=

1	4	-1
7	0	3
2	-1	1

(A+B) + C =

Answer: 10	Answer: 10	Answer: 5
Answer: 18	Answer: 2	Answer: 17
Answer: 7	Answer: 9	Answer: 10

SOLUTION 1 :

B+C =

4	3	2
7	4	8
3	4	4

1	4	-1
7	0	3
2	-1	1

5	7	1
14	4	11
5	3	5

A+(B+C)=

5	3	4
4	-2	6
2	6	5

5	7	1
14	4	11
5	3	5

10	10	5
18	2	17
7	9	10

...(1)

A+B

5	3	4
4	-2	6
2	6	5

4	3	2
7	4	8
3	4	4

9	6	6
11	2	14
5	10	9

(A+B)+C

9	6	6
11	2	14
5	10	9

1	4	-1
7	0	3
2	-1	1

10	10	5
18	2	17
7	9	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

10	10	5
18	2	17
7	9	10

ï»¿

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

If A =

2	3	2
2	-2	5
0	3	5

,B =

3	4	3
4	3	8
1	7	5

and C=

1	5	-2
3	0	4
2	-1	2

(A+B) + C =

Answer: 6	Answer: 12	Answer: 3
Answer: 9	Answer: 1	Answer: 17
Answer: 3	Answer: 9	Answer: 12

SOLUTION 1 :

B+C =

3	4	3
4	3	8
1	7	5

1	5	-2
3	0	4
2	-1	2

4	9	1
7	3	12
3	6	7

A+(B+C)=

2	3	2
2	-2	5
0	3	5

4	9	1
7	3	12
3	6	7

6	12	3
9	1	17
3	9	12

...(1)

A+B

2	3	2
2	-2	5
0	3	5

3	4	3
4	3	8
1	7	5

5	7	5
6	1	13
1	10	10

(A+B)+C

5	7	5
6	1	13
1	10	10

1	5	-2
3	0	4
2	-1	2

6	12	3
9	1	17
3	9	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

6	12	3
9	1	17
3	9	12

ï»¿

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

If A =

4	1	3
3	-2	3
1	3	3

,B =

4	4	3
8	4	6
4	7	4

and C=

1	5	-1
7	0	5
2	-1	2

(A+B) + C =

Answer: 9	Answer: 10	Answer: 5
Answer: 18	Answer: 2	Answer: 14
Answer: 7	Answer: 9	Answer: 9

SOLUTION 1 :

B+C =

4	4	3
8	4	6
4	7	4

1	5	-1
7	0	5
2	-1	2

5	9	2
15	4	11
6	6	6

A+(B+C)=

4	1	3
3	-2	3
1	3	3

5	9	2
15	4	11
6	6	6

9	10	5
18	2	14
7	9	9

...(1)

A+B

4	1	3
3	-2	3
1	3	3

4	4	3
8	4	6
4	7	4

8	5	6
11	2	9
5	10	7

(A+B)+C

8	5	6
11	2	9
5	10	7

1	5	-1
7	0	5
2	-1	2

9	10	5
18	2	14
7	9	9

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

9	10	5
18	2	14
7	9	9

ï»¿

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

If A =

2	1	4
4	-2	3
0	5	2

,B =

3	3	4
4	4	7
1	6	4

and C=

2	2	-3
7	0	5
1	-1	3

(A+B) + C =

Answer: 7	Answer: 6	Answer: 5
Answer: 15	Answer: 2	Answer: 15
Answer: 2	Answer: 10	Answer: 9

SOLUTION 1 :

B+C =

3	3	4
4	4	7
1	6	4

2	2	-3
7	0	5
1	-1	3

5	5	1
11	4	12
2	5	7

A+(B+C)=

2	1	4
4	-2	3
0	5	2

5	5	1
11	4	12
2	5	7

7	6	5
15	2	15
2	10	9

...(1)

A+B

2	1	4
4	-2	3
0	5	2

3	3	4
4	4	7
1	6	4

5	4	8
8	2	10
1	11	6

(A+B)+C

5	4	8
8	2	10
1	11	6

2	2	-3
7	0	5
1	-1	3

7	6	5
15	2	15
2	10	9

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

7	6	5
15	2	15
2	10	9

ï»¿

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

If A =

5	2	5
4	-2	4
3	2	3

,B =

2	2	3
5	5	8
3	7	4

and C=

1	2	-3
4	0	3
3	-1	3

(A+B) + C =

Answer: 8	Answer: 6	Answer: 5
Answer: 13	Answer: 3	Answer: 15
Answer: 9	Answer: 8	Answer: 10

SOLUTION 1 :

B+C =

2	2	3
5	5	8
3	7	4

1	2	-3
4	0	3
3	-1	3

3	4	0
9	5	11
6	6	7

A+(B+C)=

5	2	5
4	-2	4
3	2	3

3	4	0
9	5	11
6	6	7

8	6	5
13	3	15
9	8	10

...(1)

A+B

5	2	5
4	-2	4
3	2	3

2	2	3
5	5	8
3	7	4

7	4	8
9	3	12
6	9	7

(A+B)+C

7	4	8
9	3	12
6	9	7

1	2	-3
4	0	3
3	-1	3

8	6	5
13	3	15
9	8	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	6	5
13	3	15
9	8	10

ï»¿

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

If A =

4	2	2
4	-2	4
2	4	3

,B =

4	2	4
7	5	8
4	6	4

and C=

2	3	-1
5	0	3
3	-1	1

(A+B) + C =

Answer: 10	Answer: 7	Answer: 5
Answer: 16	Answer: 3	Answer: 15
Answer: 9	Answer: 9	Answer: 8

SOLUTION 1 :

B+C =

4	2	4
7	5	8
4	6	4

2	3	-1
5	0	3
3	-1	1

6	5	3
12	5	11
7	5	5

A+(B+C)=

4	2	2
4	-2	4
2	4	3

6	5	3
12	5	11
7	5	5

10	7	5
16	3	15
9	9	8

...(1)

A+B

4	2	2
4	-2	4
2	4	3

4	2	4
7	5	8
4	6	4

8	4	6
11	3	12
6	10	7

(A+B)+C

8	4	6
11	3	12
6	10	7

2	3	-1
5	0	3
3	-1	1

10	7	5
16	3	15
9	9	8

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

10	7	5
16	3	15
9	9	8

ï»¿

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

If A =

5	1	3
4	-2	3
3	2	4

,B =

1	3	4
8	5	8
3	5	6

and C=

4	5	-1
4	0	5
1	-1	3

(A+B) + C =

Answer: 10	Answer: 9	Answer: 6
Answer: 16	Answer: 3	Answer: 16
Answer: 7	Answer: 6	Answer: 13

SOLUTION 1 :

B+C =

1	3	4
8	5	8
3	5	6

4	5	-1
4	0	5
1	-1	3

5	8	3
12	5	13
4	4	9

A+(B+C)=

5	1	3
4	-2	3
3	2	4

5	8	3
12	5	13
4	4	9

10	9	6
16	3	16
7	6	13

...(1)

A+B

5	1	3
4	-2	3
3	2	4

1	3	4
8	5	8
3	5	6

6	4	7
12	3	11
6	7	10

(A+B)+C

6	4	7
12	3	11
6	7	10

4	5	-1
4	0	5
1	-1	3

10	9	6
16	3	16
7	6	13

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

10	9	6
16	3	16
7	6	13

ï»¿

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

If A =

2	3	5
3	-2	6
1	5	4

,B =

4	4	3
8	3	6
3	7	4

and C=

2	3	-3
7	0	4
1	-1	1

(A+B) + C =

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

SOLUTION 1 :

B+C =

4	4	3
8	3	6
3	7	4

2	3	-3
7	0	4
1	-1	1

6	7	0
15	3	10
4	6	5

A+(B+C)=

2	3	5
3	-2	6
1	5	4

6	7	0
15	3	10
4	6	5

8	10	5
18	1	16
5	11	9

...(1)

A+B

2	3	5
3	-2	6
1	5	4

4	4	3
8	3	6
3	7	4

6	7	8
11	1	12
4	12	8

(A+B)+C

6	7	8
11	1	12
4	12	8

2	3	-3
7	0	4
1	-1	1

8	10	5
18	1	16
5	11	9

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	10	5
18	1	16
5	11	9

ï»¿

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

If A =

2	1	5
2	-2	4
2	3	4

,B =

4	4	3
6	4	8
1	4	5

and C=

1	2	-2
6	0	2
1	-1	3

(A+B) + C =

Answer: 7	Answer: 7	Answer: 6
Answer: 14	Answer: 2	Answer: 14
Answer: 4	Answer: 6	Answer: 12

SOLUTION 1 :

B+C =

4	4	3
6	4	8
1	4	5

1	2	-2
6	0	2
1	-1	3

5	6	1
12	4	10
2	3	8

A+(B+C)=

2	1	5
2	-2	4
2	3	4

5	6	1
12	4	10
2	3	8

7	7	6
14	2	14
4	6	12

...(1)

A+B

2	1	5
2	-2	4
2	3	4

4	4	3
6	4	8
1	4	5

6	5	8
8	2	12
3	7	9

(A+B)+C

6	5	8
8	2	12
3	7	9

1	2	-2
6	0	2
1	-1	3

7	7	6
14	2	14
4	6	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

7	7	6
14	2	14
4	6	12

ï»¿

10)

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

If A =

4	2	5
3	-2	3
0	3	5

,B =

1	2	3
6	4	8
4	5	5

and C=

2	4	-3
7	0	4
3	-1	1

(A+B) + C =

Answer: 7	Answer: 8	Answer: 5
Answer: 16	Answer: 2	Answer: 15
Answer: 7	Answer: 7	Answer: 11

SOLUTION 1 :

B+C =

1	2	3
6	4	8
4	5	5

2	4	-3
7	0	4
3	-1	1

3	6	0
13	4	12
7	4	6

A+(B+C)=

4	2	5
3	-2	3
0	3	5

3	6	0
13	4	12
7	4	6

7	8	5
16	2	15
7	7	11

...(1)

A+B

4	2	5
3	-2	3
0	3	5

1	2	3
6	4	8
4	5	5

5	4	8
9	2	11
4	8	10

(A+B)+C

5	4	8
9	2	11
4	8	10

2	4	-3
7	0	4
3	-1	1

7	8	5
16	2	15
7	7	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

7	8	5
16	2	15
7	7	11

ï»¿