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Fawaz Qureshi

Jan 4, 2015

#### Prove that "Reversal Law of Transpose" fully , i.e (AB)T = BTAT



Let A = [ aij ]m×n and B = [ bjk ]n×p then
A' = [ cji ]n×m and B' = [ dkj ]p×n where cji = aij , dkj = bjk
The matrix AB will be order m×p, ...

Misha Jain

Apr 22, 2014



Kishore Kumar

Feb 2, 2014

#### If A and B are symmetric matrices of the same order, then show that AB is symmetric if and only if A and B commute, that is AB = BA



Since AB is symmetric, we have AB = (AB)T
But (AB)T = BT AT
Hence AB = BT A…(1)
It is also given that A and B...

Sanaya

May 16, 2014

#### a matrix of 3x3 is given if AA'=A'A and B= A inverseA' than find BB'=?



Sol:
Given that AA' = A'A and B = A-1 A'

B' = ( A-1 A')' = ( A-1)' (A')' = (A')-1 A

now B...

Deepak

Mar 25, 2016

#### The maximum marks for an examination is 900. A student fails by 43 marks if he gets 33% of the maximum marks. What are the pass marks?



Passing marks = 33% of 900 + 43
= 297 + 43
&#...

Sumanto

Jan 1, 2016

#### A positive number exceeds its square root by 30.Find the number.



6

Archana V venkatesan

Jul 19, 2013

#### can u suggest me a better way to understand the transformations in the last of our text book. like how to identify the operation that has to be performed to arrive at the soluution



hi....hi t u i m yaswanth frm Andhra...can u tell me abut this website...?

Puneet

May 7, 2014



Ashish

Feb 26, 2015

#### What is symmetric and skew symmetric.



Symmetric matrix :

A square matrix A = [aij] is said to be symmetric if A' = A

Vinaya Murali

May 11, 2015



Fawaz Qureshi

Jan 4, 2015

#### Prove that "Reversal Law of Transpose" fully , i.e (AB)T = BTAT



Let A = [ aij ]m×n and B = [ bjk ]n×p then
A' = [ cji ]n×m and B' = [ dkj ]p×n where cji = aij , dkj = bjk
The matrix AB will be order m×p, ...

Misha Jain

Apr 22, 2014



Kishore Kumar

Feb 2, 2014

#### If A and B are symmetric matrices of the same order, then show that AB is symmetric if and only if A and B commute, that is AB = BA



Since AB is symmetric, we have AB = (AB)T
But (AB)T = BT AT
Hence AB = BT A…(1)
It is also given that A and B...

Sanaya

May 16, 2014

#### a matrix of 3x3 is given if AA'=A'A and B= A inverseA' than find BB'=?



Sol:
Given that AA' = A'A and B = A-1 A'

B' = ( A-1 A')' = ( A-1)' (A')' = (A')-1 A

now B...

Deepak

Mar 25, 2016

#### The maximum marks for an examination is 900. A student fails by 43 marks if he gets 33% of the maximum marks. What are the pass marks?



Passing marks = 33% of 900 + 43
= 297 + 43
&#...

Sumanto

Jan 1, 2016

#### A positive number exceeds its square root by 30.Find the number.



6

Archana V venkatesan

Jul 19, 2013

#### can u suggest me a better way to understand the transformations in the last of our text book. like how to identify the operation that has to be performed to arrive at the soluution



hi....hi t u i m yaswanth frm Andhra...can u tell me abut this website...?

Puneet

May 7, 2014



Ashish

Feb 26, 2015

#### What is symmetric and skew symmetric.



Symmetric matrix :

A square matrix A = [aij] is said to be symmetric if A' = A

Vinaya Murali

May 11, 2015