You visited us 1 times! Enjoying our articles? Unlock Full Access!

Multiplication of Matrices

Let A be a 4 ...

Question

Let A be a 4 $\times$ 3 real matrix with rank 2. Which one of the following statement is TRUE?

Rank of

A^{T} A i s l e s s t h a n 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Rank of

A^{T} A i s e q u a l t o 2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Rank of

A^{T} A i s g r e a t e r t h a n 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Rank of

A^{T} A

can be any number between 1 and 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B Rank of $A^{T} A i s e q u a l t o 2$
From the property of the rank of matrix

Suggest Corrections

Similar questions

\times

A^{T} A)^{- 1} A^{T}

M

3 \times 3

I

3 \times 3

M^{- 1} = adj (adj M),

2 \times 2

\to x

[x_{1}, x_{2}]^{T}

| | \to x | | = (X_{1}^{2} + X_{2}^{2})^{\frac{1}{2}}

3 \times 3

M

3 \times 3

I

3 \times 3

M^{- 1} = a d j (a d j M),

Join BYJU'S Learning Program