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Fawaz Qureshi

Jan 4, 2015

Prove that "Reversal Law of Transpose" fully , i.e (AB)^{T} = B^{T}A^{T}

Answer.

Let A = [ aij ]mÃ—n and B = [ bjk ]nÃ—p then

A' = [ cji ]nÃ—m and B' = [ dkj ]pÃ—n where cji = aij , dkj = bjk

The matrix AB will be order mÃ—p, ...

Let A = [ aij ]mÃ—n and B = [ bjk ]nÃ—p then

A' = [ cji ]nÃ—m and B' = [ dkj ]pÃ—n where cji = aij , dkj = bjk

The matrix AB will be order mÃ—p, ...

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} = B^{T} A^{T}

Hence AB = B^{T} A^{T }â€¦(1)

It is also given that A and B...

But (AB)

Hence AB = B

It is also given that A and B...

Misha Jain

Apr 22, 2014

The sales figure of two car dealers during January 2007, showed that dealer A sold 5 deluxe, 3 premium and 4 standard cars, while dealer B sold 7 deluxe, 2 premium and 3 standard cars. Total sales over the 2 month period of January- February revealed that dealer A sold 8 deluxe, 7 premium and 6 standard cars. In the same two month period dealer B sold 10 deluxe, 5 premium and 7 standard cars. Write 2*3 matrices summarizing sales data for January and 2 month period for each dealer.

This answer has an image. Please click on the question to read more.

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...

Given that AA' = A'A and B = A

B' = ( 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

&#...

= 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

3 4]

This answer has an image. Please click on the question to read more.

Ashish

Feb 26, 2015

What is symmetric and skew symmetric.

Symmetric matrix :

A square matrix A = [a_{ij}] is said to be symmetric if A' = A

Fawaz Qureshi

Jan 4, 2015

Prove that "Reversal Law of Transpose" fully , i.e (AB)^{T} = B^{T}A^{T}

Answer.

Let A = [ aij ]mÃ—n and B = [ bjk ]nÃ—p then

A' = [ cji ]nÃ—m and B' = [ dkj ]pÃ—n where cji = aij , dkj = bjk

The matrix AB will be order mÃ—p, ...

Let A = [ aij ]mÃ—n and B = [ bjk ]nÃ—p then

A' = [ cji ]nÃ—m and B' = [ dkj ]pÃ—n where cji = aij , dkj = bjk

The matrix AB will be order mÃ—p, ...

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} = B^{T} A^{T}

Hence AB = B^{T} A^{T }â€¦(1)

It is also given that A and B...

But (AB)

Hence AB = B

It is also given that A and B...

Misha Jain

Apr 22, 2014

The sales figure of two car dealers during January 2007, showed that dealer A sold 5 deluxe, 3 premium and 4 standard cars, while dealer B sold 7 deluxe, 2 premium and 3 standard cars. Total sales over the 2 month period of January- February revealed that dealer A sold 8 deluxe, 7 premium and 6 standard cars. In the same two month period dealer B sold 10 deluxe, 5 premium and 7 standard cars. Write 2*3 matrices summarizing sales data for January and 2 month period for each dealer.

This answer has an image. Please click on the question to read more.

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...

Given that AA' = A'A and B = A

B' = ( 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

&#...

= 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

3 4]

This answer has an image. Please click on the question to read more.

Ashish

Feb 26, 2015

What is symmetric and skew symmetric.

Symmetric matrix :

A square matrix A = [a_{ij}] is said to be symmetric if A' = A