Find the matrix of the linear transformation with respect to the ordered basis{(0, −1), (−1, 0)}.
Describe the linear transformation ? ∶ ℝ2 → ℝ2 such that where ? is the standard basis of ℝ 2
Find the kernel of the linear transformation ? ∶ ℝ2 → ℝ2 defined by
If {?1 , ?2 } is an ordered basis of ℝ 2 and {?1 (?) , ?2 (?)} is the corresponding dual basis find
Check whetherr ? ∶ ℝ2 → ℝ2, defined by ? (?, ?) = (−?, ?) is a linear transformation.
See Answer →Check whether the set of vectors is a linearly independent set of
vectors in P3 , the vector space of polynomials of degree ≤ 3.
See Answer →Check whether is a subspace of ℝ3
Find the vector equation of the plane determined by the points (1, 0, −1), (0, 1, 1) and (−1, 1, 0)
See Answer →Find the angle between the vectors
State and culture in Assam.
See Answer →Oral tradition as historical source.
See Answer →Brahmadeya
See Answer →Development in astronomy (750-1206 CE)
See Answer →Advaita philosophy
See Answer →Analyse the role of Brahmanism and Buddhism in state formation in Southeast Asia during 9th-12th century CE.
See Answer →Write a note on the cultural development under Chalukyas of Kalyan.
See Answer →Describe the administrative hierarchy of Chola from king to local administration.
See Answer →Explain the features of clan-based distribution of political authority in Rajput polity.
See Answer →Discuss the importance of inscriptions in the study of early medieval period.
See Answer →Vaishnav Bhakti movement in Bengal
See Answer →