UNIT TEST PAPER - MATRIX, DETERMINANT AND APPLICATIONS OF INTEGRALS
Time – 1:30 Hr M.M. 50
Very short Answer Type Questions ( 1 Mark)
1.If matrix A = and matrix B = , Then show that
2.Using properties of determinant , show that
Short Answer Type Questions ( 2 Mark)
3.Using properties of determinants show that
4.If A = is a non singular matrix of order 3x3 Show that |adj A| = |A|2
5.Using elementary column operation find the inverse of the matrix
6.If A = is such that then show that
7.Find the number of all possible matrices of order 3 x 2 with each entry 0, 1 and 2.
Long Answer Type Questions – I( 4 Marks)
8.If Matrix A = then verify (AB)’ = B’A’
9.If A =
10.Using properties of determinants, show that
11.Using elementary row operation, find the inverse of matrix A =
12.Vertices of a are A(2, 3), B(4, 2), C(x, 0). Area of the is 5 sq. units. Find the value of x.
Long Answer Type Questions –I I( 6 Marks)
13.Using integration , find the area of the whose vertices are A(1, 0), B(2, 2) and C(3,1).
14.Using matrices, solve:
Also Read : Class 12 Maths Test Paper for Continuity,Differentiation and AOD
Important Questions for Matrix and Determinant
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