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RS AGGARWAL-MATRICES-Exercise 5F
- Construct a 2xx3 matrix whose elements are given by a(ij)=(1)/(2)(i-...
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- Construct a 2xx3 matrix whose elements are given by a(ij)=(1)/(2)|-3...
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- If [{:(x+2y,-y),(3x,4):}]=[{:(-4,3),(6,4):}], find the values of x and...
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- Find the values of x and y, if 2[{:(1,3),(0,x):}]+[{:(y,0),(1,2) :}]...
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- If x.[{:(2),(3):}]+y.[{:(-1),(1):}]=[{:(10),(5):}], find the values of...
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- If [{:(x,3x-y),(2x+z,3y-w):}]=[{:(3,2),(4,7):}], find the values of w...
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- If [{:(x,6),(-1,2w):}]+[{:(" "4,x+y),(z+w," "3):}]=3[{:(x,y),(z,w):}],...
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- If A=" diag "(3" "-2" "5)" and "B=" diag "(1" "3" "-4)," find "(A+B).
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- Show that costheta.[{:(costheta,sintheta),(-sintheta,costheta):}]+sint...
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- If A=[{:(1,-5),(-3," "2),(4,-2):}]" and "B=[{:(3," "1),(2,-1),(-2," "3...
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- If A=[{:(cosalpha,-sinalpha),(sinalpha,cosalpha):}], then find the lea...
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- Find the values of x and y for which [{:(2,-3),(1," "1):}][{:(x),(y)...
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- Find the values of x and y for which [{:(x,y),(3y,x):}][{:(1),(2):}]...
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- If A=[{:(4,5),(1,8):}], show that (A+A') is symmetric.
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- If A=[{:(2,3),(4,5):}], show that (A-A') is skew-symmetric.
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- If A=[{:(2,-3),(4," "5):}]" and "B=[{:(-1,2),(0,3):}], find a matrix X...
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- If A=[{:(4,2),(1,3):}]" and "B=[{:(-2,1),(3,2):}], find a matrix X suc...
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- If (i) A=[cosalphasinalpha-sinalphacosalpha] , then verify that Aprime...
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- If A and B are two symmetric matrix of same order, then show that (AB-...
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- If f(x)=x^2-4x+1 then find f(A) when A=[[2,3] , [1,2]]
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