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Therefore: (2003) Answer

This document contains 18 math questions and their answers. The questions involve finding values, matrices, and determining if operations are possible given information about matrices. Overall, the questions and answers demonstrate examples of solving for unknowns when given matrix equations and relationships between matrices.

Uploaded by

Venu Gopal
Copyright
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Download as PDF, TXT or read online on Scribd
39 views9 pages

Therefore: (2003) Answer

This document contains 18 math questions and their answers. The questions involve finding values, matrices, and determining if operations are possible given information about matrices. Overall, the questions and answers demonstrate examples of solving for unknowns when given matrix equations and relationships between matrices.

Uploaded by

Venu Gopal
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Question 1: Find , if [2003]

Answer:

Therefore

and

Hence

Question 2: Given , find: i) the order of matrix ii) the matrix [2012]

Answer:

Therefore . Hence the order of Matrix is

Let

Therefore

Therefore

and
Solving we get

Hence

Question 3: If find the value of . [1981]

Answer:

Therefore

Question 4: If , and find: i) ii) [1991]

Answer:

i)

ii)
Question 5: Find , if [1992, 2013]

Answer:

Therefore

and

Question 6: Given , and ; Find such that

. [2005]

Answer:

Question 7: Find the value of given that , , and . [2005]


Answer:

Therefore

Question 8: If , and and matrix of the same order and is the


transpose of the matrix, find . [2011]

Answer:

Question 9: Given , and ; Find the matrix such that

. [2013]

Answer:
Question 10: Let , and . Find [2006]

Answer:

Question 11: Let , . Find [2007]

Answer:
Question 12: Given , and and . FInd the value of
. [2008]

Answer:

Therefore

and

Question 13: Given , , and . Find .


[2010]

Answer:

Question 14: Evaluate [2010]

Answer:
Question 15: If , , find . [2012]

Answer:

Question 16: If . Find . [2014]

Answer:

Question 17: Solve for

i)

ii)

iii) [2014]
Answer:

i)

Therefore

Solving the above two equations we get

and

ii)

Therefore

Also

Substituting we get

iii)

Therefore

Question 18: If and , is the product of possible. [2011]

Answer:
The order of matrix and the order of matrix .

Since the number of columns in is equal to the number of rows in , the product is
possible.

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