Linear Algebra MCQs deal with A Matrix Is Invertible Iff It Is, The Inverse Is Defined By (GH)-1=, A Permutation Matrix Is A Matrix, A Matrix G Is The Right Inverse Of The Matrix H If Is Identity, A Matrix With The Sided Inverse Will Be The Invertible Matrix, A Matrix Changes Bases Iff It Is, Two Same Sized Matrix Are Equivalent Iff They Have Same, The Sum Of The Two Same Sized Matrix Is The Sum, Which Of The Matrix Has All Zero Entries, A Nilpotent Transformation Is One With Power That Is Map, Generalize Range Space Is Also Called, The Degree Of Polynomial P(X)= Cnxn+—–+C1x+C0 Is, Complex Addition Of (1-2i)+(5+4i)=, A Diagonalizable Matrix Is One That To Diagonal Matrix, A Transformation T:V?V Has A Scalar Eigen Value, ‘Eigen’ Is German For, A Square Matrix T Has Scalar Eigen Value, Any Eigen Value Is, Eigen Value Is Subspace, Annxn Matrix With Distinct Eigen Values Is Diagonalizable:

# Linear Algebra MCQs

## N8(t)=N(tn) is.

A. Space

B. Null space

C. Infinite space

D. Generalize null space

**View Answer**

**D. Generalize null space**

## let t be a transformation on n-dimensional space is R8(t)=R(t^n ).

A. range

B. range space

C. Generalize range space

D. None

**View Answer**

**C. Generalize range space**

## Annxn matrix with distinct eigen values is diagonalizable.

A. n

B. n-1

C. n2

D. nxn

**View Answer**

**A. n**

## For any set of distinct eigen value of a map or matrix , a set of associated eigenvalues , one per eigen value is .

A. Linearly dependent

B. Linearly independent

C. Equal

D. Trivial

**View Answer**

**B. Linearly independent**

## Where a charachteristic polynomial factors into (x-?1)m1…… (x-?k)mk then the eigen value ?i has algebraic multiplicity.

A. mk

B. x

C. ?k

D. mi

**View Answer**

**D. mi**

## Eigen value is subspace.

A. Non-trivial

B. Trivial

C. Local

D. All

**View Answer**

**A. Non-trivial**

## Any eigen value is .

A. Space

B. Base

C. Subspace

D. None

**View Answer**

**C. Subspace**

## A linear transformation on a non-trivial vector space has at least eighen value .

A. 1

B. 2

C. 3

D. 4

**View Answer**

**A. 1**

## The Characteristic polynomial of any transformation t is the Characteristic polynomial of any matrix representation .

A. RepB

B. RepB, B(t)

C. RepB

D. B(t) RepB

**View Answer**

**B. RepB, B(t)**