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The negative of a matrix is obtained b y...

The negative of a matrix is obtained b y multiplying it by ...........

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To find the negative of a matrix, we can follow these steps: 1. **Identify the Matrix**: Let’s denote the matrix as \( A \). 2. **Understanding the Negative of a Matrix**: The negative of the matrix \( A \) is denoted as \( -A \). This means that each element of the matrix \( A \) will be multiplied by -1. 3. **Multiplying by -1**: To obtain the negative of the matrix \( A \), we multiply the entire matrix by -1. This can be expressed mathematically as: \[ ...
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NCERT EXEMPLAR ENGLISH-MATRICES-Solved example
  1. ......... Matrix is both symmetric and skew-symmetric matrix.

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  2. Sum of two skew-symmetric matrices is always ......... Matrix.

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  3. The negative of a matrix is obtained b y multiplying it by ...........

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  4. The product of any matrix by the scalar ......... Is the null matrix.

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  5. A matrix which is not a square matrix is called a..........matrix.

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  6. Matrix multiplication is distributive over matrix addition

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  7. If A is a symmetric matrix , then A^(3) is a ........ Matrix.

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  8. If A is a skew-symmetric matrix, then A^(2) is a .................

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  9. If A and B are square matrices of the same order, then (i) (AB)=.......

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  10. If A is a skew-symmetric, then kA is a...........(where, k is any scal...

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  11. If A and B are symmetric matrices, then (i) AB-BA is a .......... ...

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  12. If A is symmetric matrix, then B'AB is............

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  13. If A and B are symmetric matrices of same order, then AB is symmetric ...

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  14. In applying one or more row operations while finding A^(-1) by elemen...

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  15. A matrix denotes a number

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  16. Matrices of any order can be added.

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  17. Two matrices are equal. If they have same number of rows and same numb...

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  18. Matrices of different order cannot be subtracted.

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  19. Matrix addition is associative as well as commutative.

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  20. Matrix m ultiplication is commutative.

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