If `A=[sinalphacosalpha-cosalphasinalpha]` , verify that `A^T\ A=I_2` .

If (i) A=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] then verify that A'A=I. (ii) A=[{:(sinalpha,cosalpha),(-cosalpha,sinalpha):}] then verify that A'A=I.

If alphaandbeta are not the multiple of (pi)/(2)and [{:(cos^(2)alpha,cosalphasinalpha),(cosalphasinalpha,sin^(2)alpha):}]xx[{:(cos^(2)beta,sinbetacosbeta),(sinbetacosbeta,sin^(2)beta):}]=[{:(0,0),(0,0):}] then alpha-beta is ......

Find the zeroes of the following quadratic polynomials by factorisation method and verify the relationship between the zeroes and the coefficients of the polynomial : t^(2)-(3sqrt(5))/(2)t-5

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients : t^(2)-15

If A=[{:(1,0,-1),(2,1,3),(0,1,1):}] , then verify that A^(2)+A=A(A+I) where I is 3xx3 unit matrix.

If A=[{:(1,3,3),(1,4,3),(1,3,4):}] , then verify that A adjA=|A|I. Also find A^(-1)

If A=[{:(-2),(4),(5):}],B=[1" "3-6] , verify that (AB)'=B'A'.

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients : x^(2)-2x-8

Find the zeroes of the following quadratic polynomials and verify relationship between the zeroes and the coefficients. t^(2)-15

Find the zeroes of the following quadratic polynomials and verify relationship between the zeroes and the coefficients. x^(2)-2x-8