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New answer posted•a year ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 12th Chapter Three

If matrix $A B = O$ , then $A = O$ or $B = O$ or both $A$ and $B$ are null matrices.

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Payal Gupta | Contributor-Level 10

a year ago

This is a True or False Type Questions as classified in NCERT Exemplar

$\begin{array}{l} F a l s e . \\ Since f o r a n y t w o n o n - z e r o m a t r i c e s A a n d B, w e m a y g e t A B = 0 . \end{array}$

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New answer posted•a year ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 12th Chapter Three

If $A$ and $B$ are two matrices of the same order, then $A - B = B - A$

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Payal Gupta | Contributor-Level 10

a year ago

This is a True or False Type Questions as classified in NCERT Exemplar

$\begin{array}{l} F a l s e . \\ Since s u b t r a c t i o n s o f a n y t w o m a t r i c e s o f t h e s a m e o r d e r i s n o t c o m m u t a t i v e i . e ., A - B \neq B - A \end{array}$

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New answer posted•a year ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 12th Chapter Three

If $A$ and $B$ are two square matrices of the same order, then $A + B = B + A$ .

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Asked by Payal Gupta

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Payal Gupta | Contributor-Level 10

a year ago

This is a True or False Type Questions as classified in NCERT Exemplar

$\begin{array}{l} T r u e . \\ I f A a n d B a r e s q u a r e m a t r i c e s o f t h e n t h e i r a d d i t i o n i s c o m m u t a t i v e i . e ., A + B = B + A \end{array}$

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New answer posted•a year ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 12th Chapter Three

Two matrices are equal if they have the same number of rows and the same number of columns.

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Asked by Payal Gupta

Answered by

Payal Gupta | Contributor-Level 10

a year ago

This is a True or False Type Questions as classified in NCERT Exemplar

$\begin{array}{l} F a l s e . \\ T h e t w o m a t r i c e s a r e s a i d t o b e e q u a l i f t h e i r c o r r e s p o n d i n g e l e m e n t s a r e s a m e . \end{array}$

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New answer posted•a year ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 12th Chapter Three

A square matrix where every element is unity is called an identity matrix.

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Payal Gupta | Contributor-Level 10

a year ago

This is a True or False Type Questions as classified in NCERT Exemplar

$\begin{array}{l} F a l s e . \\ Since, i n a n i d e n t i t y m a t r i x a l l t h e e l e m e n t s o f p r i n c i p a l d i a g o n a l a r e u n i t y r e s t a r e z e r o . \\ e . g ., A = [\begin{matrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{matrix}] = I_{3} \end{array}$

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New answer posted•a year ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 12th Chapter Three

Matrix multiplication is commutative.

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Payal Gupta | Contributor-Level 10

a year ago

This is a True or False Type Questions as classified in NCERT Exemplar

$\begin{array}{l} F a l s e . \\ Since A B \neq B A i f A B a n d B A a r e w e l l d e f i n e d . \end{array}$

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New answer posted•a year ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 12th Chapter Three

Matrix addition is associative as well as commutative.

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Asked by Payal Gupta

Answered by

Payal Gupta | Contributor-Level 10

a year ago

This is a True or False Type Questions as classified in NCERT Exemplar

$\begin{array}{l} T r u e . \\ I f A, B a n d C a r e t h e m a t r i c e s o f a d d i t i o n t h e n \\ A + (B + C) = (A + B) + C (a s s o c i a t i v e) \\ A + B = B + A (c o m m u t a t i v e) \end{array}$

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New answer posted•a year ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 12th Chapter Three

Matrices of different orders cannot be subtracted

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Asked by Payal Gupta

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Payal Gupta | Contributor-Level 10

a year ago

This is a True or False Type Questions as classified in NCERT Exemplar

$\begin{array}{l} T r u e . \\ F o r a d d i t i o n a n d s u b t r a c t i o n, t h e o r d e r o f t w o m a t r i c e s s h o u l d b e s a m e . \end{array}$

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New answer posted•a year ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 12th Chapter Three

Matrices of any order can be added.

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Asked by Payal Gupta

Answered by

Payal Gupta | Contributor-Level 10

a year ago

This is a True or False Type Questions as classified in NCERT Exemplar

$\begin{array}{l} F a l s e . \\ T h e t w o m a t r i c e s a r e s a i d t o b e e q u a l i f t h e i r c o r r e s p o n d i n g e l e m e n t s a r e s a m e . \end{array}$

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New answer posted•a year ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 12th Chapter Three

A matrix denotes a number.

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Asked by Payal Gupta

Answered by

Payal Gupta | Contributor-Level 10

a year ago

This is a True or False Type Questions as classified in NCERT Exemplar

$\begin{array}{l} F a l s e . \\ A m a t r i x i s a n a r r a y o f e l e m e n t s, n u m b e r s o r f u n c t i o n s h a v i n g r o w s a n d c o l u m n s . \end{array}$

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