Q1) Identity matrix is always:RectangularNone of theseNon-singularSingular

Identity matrix is always:

A matrix having m𝑚 rows and n𝑛 columns with m≠n𝑚≠𝑛 is said to be a a.scalar matrixb.identity matrixc.square matrixd.rectangular matrix

What does it mean for a matrix to be singular?a.It is equal to its inverse.b.It is equal to its transpose.c.It is a square matrix.d.It has no inverse

Determine the validity of each statement by selecting True or False.  1. If a 3×3 matrix has eigenvalues 𝜆=−3,−1,2, then the singular values of the matrix are 𝜎1=3,𝜎2=2,𝜎3=1.  2. The SVD of any 𝑚×𝑛 matrix 𝐴 always exists and is unique.  3. It is possible for a 3×4 matrix to have the singular values 𝜎1=4, 𝜎2=0, and 𝜎3=−1.  4. If 𝐴 has linearly independent columns and 𝐴 has the SVD 𝐴=𝑈Σ𝑉𝑇, then the columns of 𝑉 form an orthonormal basis for Col𝐴.

What does it mean for a matrix to be singular? a. It has no inverse. b. It is equal to its inverse. c. It is a square matrix. d. It is equal to its transpose.