Question
If A =
and B =
, then (AB)T is-
The correct answer is: ![open square brackets table row 7 1 row 0 cell negative 8 end cell end table close square brackets](data:image/png;base64,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)
To find the value of
.
Given, A =
and B =
.
(AB) = A x B =
x ![open square brackets table row 3 4 row 2 cell negative 2 end cell end table close square brackets](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD8AAAAqCAYAAAAERIP3AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAaPUZr5AAAAaRJREFUeNrtmi1Lg1EYhh9ERGRlGIzCWBDDWJUhYjHIggiGYZBhNfgzjFbxH4jBMMQiYjDYZEHE4n8wyLDofTgniB9Dz7nPh9vzwFUWdj/X+7Fz3uediK23bxilGuo3arK/ORgq/1f5VXAOXsAAPIJDMBup0XaEk+MtfwU2wdSHz5rgIoJ4BdyXJP9TPUeQPwK7pcvXwAO5wRa4jPSbRJGfA113368TmzO3VB/Mlyj/ec3cJzd3APYirkaUM18FG+AWrJAaa4CbYc2Wds9X3AFglPme+n+SF7fmx9qKsrfdVPmG+9FLsiPLKX8NtsAkmHA7viewMw7yy6DnLvOB2/G1U+7F9cFG5VVe5VVe5VVe5VVe5VVe5UPlzWDxVOy09hXcge1ETbOygx5pO2KnN6YWxY6dOgnkWdnUy95MWfuZLmGf7GLHWCmyqfJL8nXimqp8smny02Inrq0M4r7ZtLn9GVgLWHJ8p7Uh2cHyNRdez3DGQ7OD5BfAMZjJIM7I9pY3LydPxI6uUxcr21u+545+jmJle8vHfpWUIlsfbFRexvRPiO+Ey8sOCNpP7AAAAPl0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZlbmNlZCBjbG9zZT0iXSIgb3Blbj0iWyIgc2VwYXJhdG9ycz0ifCI+PG10YWJsZT48bXRyPjxtdGQ+PG1uPjM8L21uPjwvbXRkPjxtdGQ+PG1uPjQ8L21uPjwvbXRkPjwvbXRyPjxtdHI+PG10ZD48bW4+MjwvbW4+PC9tdGQ+PG10ZD48bW8+LTwvbW8+PG1uPjI8L21uPjwvbXRkPjwvbXRyPjwvbXRhYmxlPjwvbWZlbmNlZD48L21hdGg+u8dvvgAAAABJRU5ErkJggg==)
(AB) =
.
= ![open square brackets table row 7 1 row 0 cell negative 8 end cell end table close square brackets](data:image/png;base64,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)
Therefore, by matrix multiplication, =
.
Related Questions to study
If
is square root of I2, then
and
will satisfy the relation -
If
is square root of I2, then
and
will satisfy the relation -
If A =
then A2 – 5A + 6I =
If A =
then A2 – 5A + 6I =
If A =
, B =
, C =
, then which of the following statement is true-
If A =
, B =
, C =
, then which of the following statement is true-
If A =
and B =
, then -
If A =
and B =
, then -
equals-
equals-
Statement - I For any real value of or
the value of the expression
0 or y≥2 (either less than or equal to zero or greater than or equal to two)
Statement - II for all real values of
.
In this question, we have to find the statements are the correct or not and statement 2 is correct explanation or not, is same as assertion and reason
Statement - I For any real value of or
the value of the expression
0 or y≥2 (either less than or equal to zero or greater than or equal to two)
Statement - II for all real values of
.
In this question, we have to find the statements are the correct or not and statement 2 is correct explanation or not, is same as assertion and reason