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IF a matrix has 12 elements, what are th...

IF a matrix has 12 elements, what are the possible orders it can have? What, if it has 7 elements?

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To determine the possible orders of a matrix based on the number of elements it contains, we can follow these steps: ### Step 1: Understand the relationship between elements and matrix order A matrix of order \( m \times n \) (where \( m \) is the number of rows and \( n \) is the number of columns) has a total of \( m \times n \) elements. ### Step 2: Find the factors of the total number of elements To find the possible orders of a matrix with a specific number of elements, we need to find all pairs of natural numbers \( (m, n) \) such that \( m \times n \) equals the total number of elements. ...
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ARIHANT MATHS ENGLISH-MATRICES -Exercise (Questions Asked In Previous 13 Years Exam)
  1. IF a matrix has 12 elements, what are the possible orders it can have?...

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  2. Let A=[(1,0,0),(0,1,1),(0,-2,4)],I=[(1,0,0),(0,1,0),(0,0,1)] and A^-1=...

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  3. about to only mathematics

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  4. If A=[(1,0),(1,1)] and I=[(1,0),(0,1)] then which one of the following...

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  5. If A^(2)-A+I=O, then A^(-1) is equal to

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  6. Let {:A=[(1,0,0),(2,1,0),(3,2,1)]:}and U1,U2,U3 be column matrices sat...

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  7. Let A = [(1,0,0), (2,1,0), (3,2,1)], and U1, U2 and U3 are columns of ...

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  8. If A= ((1,0,0),(2,1,0),(3,2,1)), U(1), U(2), and U(3) are column matri...

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  9. Let A=[{:(1,2),(3,4):}]and B = [{:(a,0),(0,b):}] where a, b are natura...

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  10. If A and B are square matrices of size nxxn such that A^2-B^2 = (A-B)(...

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  11. Let A= [[5,5alpha,alpha],[0,alpha,5alpha],[0,0,5]] . If |A^2|...

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  12. Let A and B be 3xx3 matrtices of real numbers, where A is symmetric, "...

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  13. Let A be a square matrix all of whose entries are integers. Then wh...

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  14. Let A be a 2xx2 matrix with real entries. Let I be the 2xx2 identi...

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  15. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

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  16. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

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  17. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

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  18. Let A be a 2xx2 matrix Statement -1 adj (adjA)=A Statement-2 abs(a...

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  19. The number of 3xx3 matrices a whose entries are either 0 or 1 and for ...

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  20. Let P be an odd prime number and T(p) be the following set of 2xx2 mat...

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  21. Let P be an odd prime number and T(p) be the following set of 2xx2 mat...

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