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	2	3
4	-2	4
2	3	5

,B =

4	3	3
6	4	7
3	5	6

and C=

2	2	-3
6	0	4
2	-1	3

(A+B) + C =

Answer:_______________

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

If A =

5	1	3
2	-2	5
4	3	2

,B =

1	3	4
5	3	8
4	7	6

and C=

2	4	-2
6	0	2
2	-1	2

(A+B) + C =

Answer:_______________

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

If A =

3	2	3
3	-2	3
1	3	3

,B =

3	3	2
4	4	7
4	5	6

and C=

2	2	-2
4	0	3
3	-1	1

(A+B) + C =

Answer:_______________

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

If A =

4	1	5
2	-2	3
2	4	3

,B =

3	2	3
6	3	8
1	7	5

and C=

1	4	-1
4	0	5
1	-1	1

(A+B) + C =

Answer:_______________

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

If A =

4	2	4
2	-2	2
1	4	3

,B =

1	3	2
6	4	6
2	4	5

and C=

1	5	-1
6	0	3
3	-1	2

(A+B) + C =

Answer:_______________

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

If A =

3	3	4
3	-2	2
0	3	4

,B =

2	4	3
4	5	6
4	5	5

and C=

1	3	-1
3	0	4
3	-1	1

(A+B) + C =

Answer:_______________

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

If A =

4	1	2
4	-2	5
2	2	2

,B =

1	4	2
8	3	8
2	4	5

and C=

4	3	-1
7	0	5
3	-1	1

(A+B) + C =

Answer:_______________

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

If A =

5	3	5
3	-2	2
3	3	4

,B =

2	5	3
6	5	6
1	4	5

and C=

1	2	-3
3	0	2
1	-1	3

(A+B) + C =

Answer:_______________

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

If A =

2	2	4
3	-2	2
3	2	3

,B =

3	5	3
8	5	7
1	5	6

and C=

3	2	-1
5	0	5
2	-1	2

(A+B) + C =

Answer:_______________

10)

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

If A =

2	2	4
4	-2	3
2	6	3

,B =

2	3	4
4	4	7
3	7	4

and C=

4	4	-2
6	0	4
2	-1	1

(A+B) + C =

Answer:_______________

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

If A =

5	2	3
4	-2	4
2	3	5

,B =

4	3	3
6	4	7
3	5	6

and C=

2	2	-3
6	0	4
2	-1	3

(A+B) + C =

Answer: 11	Answer: 7	Answer: 3
Answer: 16	Answer: 2	Answer: 15
Answer: 7	Answer: 7	Answer: 14

SOLUTION 1 :

B+C =

4	3	3
6	4	7
3	5	6

2	2	-3
6	0	4
2	-1	3

6	5	0
12	4	11
5	4	9

A+(B+C)=

5	2	3
4	-2	4
2	3	5

6	5	0
12	4	11
5	4	9

11	7	3
16	2	15
7	7	14

...(1)

A+B

5	2	3
4	-2	4
2	3	5

4	3	3
6	4	7
3	5	6

9	5	6
10	2	11
5	8	11

(A+B)+C

9	5	6
10	2	11
5	8	11

2	2	-3
6	0	4
2	-1	3

11	7	3
16	2	15
7	7	14

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

11	7	3
16	2	15
7	7	14

ï»¿

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

If A =

5	1	3
2	-2	5
4	3	2

,B =

1	3	4
5	3	8
4	7	6

and C=

2	4	-2
6	0	2
2	-1	2

(A+B) + C =

Answer: 8	Answer: 8	Answer: 5
Answer: 13	Answer: 1	Answer: 15
Answer: 10	Answer: 9	Answer: 10

SOLUTION 1 :

B+C =

1	3	4
5	3	8
4	7	6

2	4	-2
6	0	2
2	-1	2

3	7	2
11	3	10
6	6	8

A+(B+C)=

5	1	3
2	-2	5
4	3	2

3	7	2
11	3	10
6	6	8

8	8	5
13	1	15
10	9	10

...(1)

A+B

5	1	3
2	-2	5
4	3	2

1	3	4
5	3	8
4	7	6

6	4	7
7	1	13
8	10	8

(A+B)+C

6	4	7
7	1	13
8	10	8

2	4	-2
6	0	2
2	-1	2

8	8	5
13	1	15
10	9	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	8	5
13	1	15
10	9	10

ï»¿

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

If A =

3	2	3
3	-2	3
1	3	3

,B =

3	3	2
4	4	7
4	5	6

and C=

2	2	-2
4	0	3
3	-1	1

(A+B) + C =

Answer: 8	Answer: 7	Answer: 3
Answer: 11	Answer: 2	Answer: 13
Answer: 8	Answer: 7	Answer: 10

SOLUTION 1 :

B+C =

3	3	2
4	4	7
4	5	6

2	2	-2
4	0	3
3	-1	1

5	5	0
8	4	10
7	4	7

A+(B+C)=

3	2	3
3	-2	3
1	3	3

5	5	0
8	4	10
7	4	7

8	7	3
11	2	13
8	7	10

...(1)

A+B

3	2	3
3	-2	3
1	3	3

3	3	2
4	4	7
4	5	6

6	5	5
7	2	10
5	8	9

(A+B)+C

6	5	5
7	2	10
5	8	9

2	2	-2
4	0	3
3	-1	1

8	7	3
11	2	13
8	7	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	7	3
11	2	13
8	7	10

ï»¿

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

If A =

4	1	5
2	-2	3
2	4	3

,B =

3	2	3
6	3	8
1	7	5

and C=

1	4	-1
4	0	5
1	-1	1

(A+B) + C =

Answer: 8	Answer: 7	Answer: 7
Answer: 12	Answer: 1	Answer: 16
Answer: 4	Answer: 10	Answer: 9

SOLUTION 1 :

B+C =

3	2	3
6	3	8
1	7	5

1	4	-1
4	0	5
1	-1	1

4	6	2
10	3	13
2	6	6

A+(B+C)=

4	1	5
2	-2	3
2	4	3

4	6	2
10	3	13
2	6	6

8	7	7
12	1	16
4	10	9

...(1)

A+B

4	1	5
2	-2	3
2	4	3

3	2	3
6	3	8
1	7	5

7	3	8
8	1	11
3	11	8

(A+B)+C

7	3	8
8	1	11
3	11	8

1	4	-1
4	0	5
1	-1	1

8	7	7
12	1	16
4	10	9

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	7	7
12	1	16
4	10	9

ï»¿

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

If A =

4	2	4
2	-2	2
1	4	3

,B =

1	3	2
6	4	6
2	4	5

and C=

1	5	-1
6	0	3
3	-1	2

(A+B) + C =

Answer: 6	Answer: 10	Answer: 5
Answer: 14	Answer: 2	Answer: 11
Answer: 6	Answer: 7	Answer: 10

SOLUTION 1 :

B+C =

1	3	2
6	4	6
2	4	5

1	5	-1
6	0	3
3	-1	2

2	8	1
12	4	9
5	3	7

A+(B+C)=

4	2	4
2	-2	2
1	4	3

2	8	1
12	4	9
5	3	7

6	10	5
14	2	11
6	7	10

...(1)

A+B

4	2	4
2	-2	2
1	4	3

1	3	2
6	4	6
2	4	5

5	5	6
8	2	8
3	8	8

(A+B)+C

5	5	6
8	2	8
3	8	8

1	5	-1
6	0	3
3	-1	2

6	10	5
14	2	11
6	7	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

6	10	5
14	2	11
6	7	10

ï»¿

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

If A =

3	3	4
3	-2	2
0	3	4

,B =

2	4	3
4	5	6
4	5	5

and C=

1	3	-1
3	0	4
3	-1	1

(A+B) + C =

Answer: 6	Answer: 10	Answer: 6
Answer: 10	Answer: 3	Answer: 12
Answer: 7	Answer: 7	Answer: 10

SOLUTION 1 :

B+C =

2	4	3
4	5	6
4	5	5

1	3	-1
3	0	4
3	-1	1

3	7	2
7	5	10
7	4	6

A+(B+C)=

3	3	4
3	-2	2
0	3	4

3	7	2
7	5	10
7	4	6

6	10	6
10	3	12
7	7	10

...(1)

A+B

3	3	4
3	-2	2
0	3	4

2	4	3
4	5	6
4	5	5

5	7	7
7	3	8
4	8	9

(A+B)+C

5	7	7
7	3	8
4	8	9

1	3	-1
3	0	4
3	-1	1

6	10	6
10	3	12
7	7	10

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

6	10	6
10	3	12
7	7	10

ï»¿

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

If A =

4	1	2
4	-2	5
2	2	2

,B =

1	4	2
8	3	8
2	4	5

and C=

4	3	-1
7	0	5
3	-1	1

(A+B) + C =

Answer: 9	Answer: 8	Answer: 3
Answer: 19	Answer: 1	Answer: 18
Answer: 7	Answer: 5	Answer: 8

SOLUTION 1 :

B+C =

1	4	2
8	3	8
2	4	5

4	3	-1
7	0	5
3	-1	1

5	7	1
15	3	13
5	3	6

A+(B+C)=

4	1	2
4	-2	5
2	2	2

5	7	1
15	3	13
5	3	6

9	8	3
19	1	18
7	5	8

...(1)

A+B

4	1	2
4	-2	5
2	2	2

1	4	2
8	3	8
2	4	5

5	5	4
12	1	13
4	6	7

(A+B)+C

5	5	4
12	1	13
4	6	7

4	3	-1
7	0	5
3	-1	1

9	8	3
19	1	18
7	5	8

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

9	8	3
19	1	18
7	5	8

ï»¿

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

If A =

5	3	5
3	-2	2
3	3	4

,B =

2	5	3
6	5	6
1	4	5

and C=

1	2	-3
3	0	2
1	-1	3

(A+B) + C =

Answer: 8	Answer: 10	Answer: 5
Answer: 12	Answer: 3	Answer: 10
Answer: 5	Answer: 6	Answer: 12

SOLUTION 1 :

B+C =

2	5	3
6	5	6
1	4	5

1	2	-3
3	0	2
1	-1	3

3	7	0
9	5	8
2	3	8

A+(B+C)=

5	3	5
3	-2	2
3	3	4

3	7	0
9	5	8
2	3	8

8	10	5
12	3	10
5	6	12

...(1)

A+B

5	3	5
3	-2	2
3	3	4

2	5	3
6	5	6
1	4	5

7	8	8
9	3	8
4	7	9

(A+B)+C

7	8	8
9	3	8
4	7	9

1	2	-3
3	0	2
1	-1	3

8	10	5
12	3	10
5	6	12

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	10	5
12	3	10
5	6	12

ï»¿

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

If A =

2	2	4
3	-2	2
3	2	3

,B =

3	5	3
8	5	7
1	5	6

and C=

3	2	-1
5	0	5
2	-1	2

(A+B) + C =

Answer: 8	Answer: 9	Answer: 6
Answer: 16	Answer: 3	Answer: 14
Answer: 6	Answer: 6	Answer: 11

SOLUTION 1 :

B+C =

3	5	3
8	5	7
1	5	6

3	2	-1
5	0	5
2	-1	2

6	7	2
13	5	12
3	4	8

A+(B+C)=

2	2	4
3	-2	2
3	2	3

6	7	2
13	5	12
3	4	8

8	9	6
16	3	14
6	6	11

...(1)

A+B

2	2	4
3	-2	2
3	2	3

3	5	3
8	5	7
1	5	6

5	7	7
11	3	9
4	7	9

(A+B)+C

5	7	7
11	3	9
4	7	9

3	2	-1
5	0	5
2	-1	2

8	9	6
16	3	14
6	6	11

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	9	6
16	3	14
6	6	11

ï»¿

10)

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

If A =

2	2	4
4	-2	3
2	6	3

,B =

2	3	4
4	4	7
3	7	4

and C=

4	4	-2
6	0	4
2	-1	1

(A+B) + C =

Answer: 8	Answer: 9	Answer: 6
Answer: 14	Answer: 2	Answer: 14
Answer: 7	Answer: 12	Answer: 8

SOLUTION 1 :

B+C =

2	3	4
4	4	7
3	7	4

4	4	-2
6	0	4
2	-1	1

6	7	2
10	4	11
5	6	5

A+(B+C)=

2	2	4
4	-2	3
2	6	3

6	7	2
10	4	11
5	6	5

8	9	6
14	2	14
7	12	8

...(1)

A+B

2	2	4
4	-2	3
2	6	3

2	3	4
4	4	7
3	7	4

4	5	8
8	2	10
5	13	7

(A+B)+C

4	5	8
8	2	10
5	13	7

4	4	-2
6	0	4
2	-1	1

8	9	6
14	2	14
7	12	8

....(2)

From (1) and (2) we have

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

ï»¿(A+B)+C

8	9	6
14	2	14
7	12	8

ï»¿