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KUMAR PRAKASHAN-MATRICES -MISCELLANEOUS EXERCISE -3
- Let A A=[{:(0,1),(0,0):}] , show that (aI+bA)^(n)=a^(n)I+na^(n-1)bA, ...
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- નીયોના આપેલા પ્રશ્ર્ન નંબર 9 થી 14 ની માગ્યા મુજખ ગણતરી કરી જવાખ આપો (...
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- If A=[{:(3,-4),(1,-1):}], then prove that A^(n)=[{:(1+2n,-4n),(n,1-...
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- If A and B are symmetric matrices , prove that AB-BA is a skew symmetr...
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- Show that the matrix B'AB is symmetric or skew symmetric according as ...
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- Find the values of x,y,z if the matrix A=[{:(0,2y,z),(x,y,-z),(x,-y...
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- For what values of x: [1" "2" "3][{:(1,2,0),(2,0,1),(1,0,2):}][{:(0...
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- If A=[{:(3,1),(-1,2):}], show that A^(2)-5A+7I=O.
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- Find x , if [x-5-1][{:(1,0,2),(0,2,1),(2,0,3):}][{:(x),(4),(1):}]=O.
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- A manufacture produces three products x,y,z which he sells in two mark...
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- Find the matrix X so that , X[{:(1,2,3),(4,5,6):}]=[{:(-7,-8,-9),(2...
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- If A and B are square matrices of the same order such that AB=Ba , the...
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- If A=[{:(alpha,beta),(gamma,-alpha):}] is such that A^(2)=I, then ……
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- If the matrix A is both symmetric and skew symmetric ,then ……..
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- If A is square matrix such that A^(2)=A, then (I+A)^(3)-7A is equal to...
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